**Publications of Ross Street**

0. PhD Thesis: *Homotopy** Classification of Filtered
Complexes**,* University of Sydney, August 1968.

1. (with E. Dubuc) Dinatural transformations, *Lecture Notes in Math.* **137**
(1970) 126--137; MR43#313.

2. Projective diagrams of
interlocking sequences, *Illinois J. Math.*
**15** (1971) 429--441; MR43#4881.

3. The formal theory of monads, *J. Pure Appl. Algebra* **2** (1972) 149--168; MR45#8701.

4. Two constructions on lax
functors, *Cahiers de topologie
et g\'eom\'etrie diff\'erentielle* **13** (1972) 217--264; MR50#436.

5. Homotopy
classification of filtered complexes, *J.
Australian Math. Soc.* **15** (1973)
298--318; MR49#5135.

6. (with R.F.C. Walters) The
comprehensive factorization of a functor, *Bulletin
American Math. Soc.* **79** (1973)
936--941; MR49#10753.

7. (with G.M. Kelly) Review of
the elements of 2-categories, *Lecture
Notes in Math.* **420** (1974) 75--103;
MR50#10010.

8. Fibrations
and Yoneda's lemma in a 2-category, *Lecture Notes in Math.* **420** (1974) 104--133; MR53#585.

9. Elementary cosmoi
I, *Lecture Notes in Math.* **420** (1974) 134--180; MR50#7290.

10. Limits indexed by
category-valued 2-functors, *J. Pure Appl.
Algebra* **8** (1976) 149--181;
MR53#5695.

11. Internally complete
2-categories, *Notices American Math. Soc.*
**23#5** (Aug.1976) Abstract 737-18-7.

12. (with R.F.C. Walters) Yoneda structures on 2-categories, *J. Algebra* **50** (1978)
350--379; MR57#3214.

13. Cosmoi of internal categories, *Transactions American Math. Soc.* **258** (1980) 271--318; MR82a:18007.

14. Fibrations
in bicategories, *Cahiers de topologie et g\'eom\'etrie diff\'erentielle* **21** (1980) 111--160; MR81f:18028.

15. (with W. Tholen,
M. Wischnewsky, and H. Wolff) Semi-topological
functors III: lifting of monads and adjoint functors, *J. Pure Appl. Algebra* **16**
(1980) 299--314; MR81g:18003.

16. Notions of topos, *Bulletin
Australian Math. Soc.* **23** (1981)
199--208; MR83a:18014.

17. Conspectus of variable
categories, *J. Pure Appl. Algebra* **21** (1981) 307--338; MR84i:18006.

18. [see 85] Cauchy
characterization of enriched categories, *Rendiconti** del Seminario Matematico
e Fisico di Milano* **51** (1981) 217--233; MR85e:18006; pdf

19. Two
dimensional sheaf theory, *J. Pure
Appl. Algebra* **23** (1982) 251--270;
MR83d:18014.

20. Characterization of
bicategories of stacks, *Lecture Notes in
Math.* **962** (1982) 282--291;
MR84d:18006.

21. Enriched categories and cohomology, *Quaestiones
Math.* **6** (1983) 265--283;
MR85e:18007.

22. (with R. Betti,
A. Carboni, and R. Walters) Variation through
enrichment, *J. Pure Appl. Algebra* **29** (1983) 109--127; MR85e:18005. Amplification of the Proof
of Proposition 5.

23. Absolute colimits in enriched
categories, *Cahiers de topologie et g\'eom\'etrie diff\'erentielle* **24** (1983) 377--379; MR85i:18001.

24. The family approach to total cocompleteness and toposes, *Transactions American Math. Soc.* **284** (1984) 355--369; MR85f:18003.

25. Homotopy
classification by diagrams of interlocking sequences, *Math. Colloquium University of Cape Town* **13** (1984) 83--120; MR86i:55025; pdf.

26. (with A. Carboni
and S. Kasangian) Bicategories of spans and
relations, *J. Pure Appl. Algebra* **33** (1984) 259--267; MR86f:18013.

27. (with A. Carboni)
Order ideals in categories, *Pacific J.
Math.* **124** (1986) 275--288;
MR88e:18005.

28. (with S. Schanuel)
The free adjunction, *Cahiers de topologie et g\'eom\'etrie diff\'erentielle cat\'egoriques* **27** (1986) 81--83; MR87f: 18005.

29. (with B.J. Day) Categories in
which all strong generators are dense, *J.
Pure Appl. Algebra* **43** (1986)
235--242; MR88m:18013.

30. The algebra of oriented
simplexes, *J. Pure Appl. Algebra* **49** (1987) 283--335; MR89a:18019; (2.2Mb
pdf; see [52] for a correction).

31. Correction to "Fibrations in bicategories", *Cahiers de topologie et g\'eom\'etrie diff\'erentielle cat\'egoriques* **28** (1987) 53--56; MR88i: 18004.

32. (with D. Schumacher) Some
parametrized categorical concepts, *Communications
in Algebra* **16** (1988) 2313--2347; MR89k:18001.

33. Fillers for nerves, *Lecture Notes in Math. ***1348** (1988) 337--341; MR89m:18011.

34. (with B.J. Day) Localisation of locally presentable categories, *J. Pure Appl. Algebra* **58** (1989) 227-- 233; MR90g:18012.

35. (with G.J. Bird, G.M. Kelly,
and A.J. Power) Flexible limits for 2-categories, *J. Pure Appl. Algebra* **61**
(1989) 1--27; MR91a:18009.

36. (with B.J. Day) Localisation of locally presentable categories II, *J. Pure Appl. Algebra* **63** (1990) 225--229; MR91h:18007.

37. (with A. Joyal)
The geometry of tensor calculus I, *Advances in
Math.* **88** (1991) 55--112; MR92d:18011.

38. (with A. Joyal)
Tortile Yang-Baxter operators in tensor categories, *J. Pure Appl. Algebra* **71**
(1991) 43--51; MR92e:18006.

39. Quantum Groups : an entree to
modern algebra (Notes from a Graduate Lecture Course March-June 1990; nearly
all available as html or ps).

40. (with A. Joyal)
An introduction to Tannaka
duality and quantum groups; Part II of
Category Theory, Proceedings, Como 1990 (Editors A. Carboni,
M.C. Pedicchio and G. Rosolini)
*Lecture Notes in Math.* **1488** (Springer-Verlag Berlin,
Heidelberg 1991) 411--492; MR93f:18015.

41. Parity complexes, *Cahiers de topologie
et g\'eom\'etrie diff\'erentielle cat\'egoriques* **32** (1991) 315--343; MR93f:18014 (also see [52]
below and Simon Forest's paper at http://arxiv.org/abs/1903.00282).

42. (with A. Joyal)
Pullbacks equivalent to pseudopullbacks, *Cahiers de topologie
et g\'eom\'etrie diff\'erentielle cat\'egoriques* **34** (1993) 153--156; MR94a:18004.

43. (with G. Janelidze
and D. Schumacher) Galois theory in variable categories, *Applied Categorical Structures* **1**
(1993) 103--110; MR94k:18011.

44. (with A. Joyal)
Braided tensor categories, *Advances in
Math.* **102** (1993) 20--78; MR94m:18008; for earlier version see "Other widely circulated output ix" below.

45. Categorical structures, *Handbook of Algebra* **Volume 1** (editor M. Hazewinkel; Elsevier
Science, Amsterdam 1996; ISBN 0 444 82212 7) 529--577; pdf.

46. (with A. Carboni,
S. Johnson and D. Verity) Modulated bicategories, *J. Pure Appl. Algebra* **94**
(1994) 229--282; MR96f:18008.

47. (with R. Gordon and A.J.
Power) Coherence for tricategories, *Memoirs
of the American Math. Society* **117**
(1995) Number 558 (ISBN 0-8218-0344-1); MR96j:18002.

48. Higher categories, strings,
cubes and simplex equations, *Applied
Categorical Structures* **3** (1995)
29--77 & 303; MR96b:18009; pdf.

49. (with A. Joyal)
The category of representations of the general linear groups over a finite
field, *J. Algebra* **176** (3) (1995) 908--946; MR96k:20082.

50. Ideals, radicals, and
structure of additive categories, *Applied
Categorical Structures* **3** (1995)
139--149; MR96e:18003; pdf.

51. (with A. Joyal
and D. Verity) Traced monoidal categories, *Mathematical
Proceedings of the Cambridge Philosophical Society* **119** (3) (1996) 425--446; MR96m:18014. [Related documents: Amy
Young’s project and http://dx.doi.org/10.1017/S0305004109002606].

52. Parity complexes: corrigenda,
*Cahiers de topologie
et g\'eom\'etrie diff\'erentielle cat\'egoriques* **35** (1994) 359--361; MR95j:18005.

53. (with A. Joyal)
The geometry of tensor calculus II (draft document, also see
(xii) below).

54. (with D. Verity) Surface
diagrams for tricategories; superseded by

M. McIntyre and T. Trimble, The geometry of Gray-categories, *Advances in Math. *(withdrawn; but see http://ncatlab.org/toddtrimble/published/Surface+diagrams).

55. (with B. Day) Kan extensions
along promonoidal functors, *Theory and Applications of Categories* **1** (4)
(1995) 72--78; MR96a:18003.

56. (with P. Freyd)
On the size of categories, *Theory and
Applications of Categories* **1 **(9) (1995) 174--178; MR96m:18004.

57. Low-dimensional topology and
higher-order categories, *Proceedings of
CT95**, Halifax, 9-15 July 1995*; pdf.

58. Fusion operators and cocycloids in monoidal categories, *Applied Categorical Structures* **6
**(2) (Special Issue on ``Quantum Groups, Hopf
Algebras and Category Theory'', ed. A. Verschoren,
1998) 177--191; MR99d:18008; pdf.

59. Descent theory (notes of
three lectures presented at Oberwolfach, September 1995); pdf.

60. (with B.J. Day) Monoidal
bicategories and Hopf algebroids, *Advances in
Math.* **129** (1997) 99--157; MR99f:18013; Remark
on Example 11.

61. (with Renato Betti and Dietmar Schumacher) Factorizations in
bicategories, Dipartimento di Matematica,
Politecnico di Milano, n. 22/R (May 1999); draft
20 Nov. 1997.

62. (with P.J. Freyd, P.W. O'Hearn, A.J. Power,
M. Takeyama, and R.D. Tennent) Bireflectivity, *Theoretical
Computer Science* **228 (1-2)** (1999) 49--76; MR2000i:68110.

63. The quantum double and
related constructions, *J. Pure Appl.
Algebra* **132** (1998) 195--206;
MR99e:16054.

64. The role of Michael Batanin’s monoidal globular categories, in: ``Higher
Category Theory'' (editors E. Getzler and M. Kapranov) *Contemporary
Mathematics* **230** (A.M.S. 1998) 99--116;
MR 2000a:18006.

65. (see [110]) Parenthetic
remarks (preprint, pdf).

66. (with M. Batanin)
The universal property of the multitude of trees, *J. Pure Appl.
Algebra* **154** (2000) 3--13; MR2001f:18014.

67. (with G. Janelidze)
Galois theory in symmetric monoidal categories, *Macquarie Mathematics Report 98/235* (April 1998); preliminary
announcement* *in *Seminarberichte** aus dem Fachbereich Mathematik, *Band **63**, Teil **3** (1998) 365-375; *Journal of
Algebra *220 (1999) 174--187; MR2000h:18017.

68. Braids among the groups *Seminarberichte** aus dem Fachbereich Mathematik, *Band **63**, Teil **5** (1998) 699--703.

69. The petit topos
of globular sets, *J. Pure Appl.
Algebra* **154** (2000) 299--315; MR2001f:18008. A point of correction.

70. (with G.M. Kelly, A. Labella
and V. Schmitt) Categories enriched on two sides, *J. Pure Appl. Algebra* **168
(1)** (8 March 2002) 53--98; MR2003f:18006 pdf.

71. (with S. Lack) The formal
theory of monads II, *J. Pure Appl.
Algebra* **175 (1-3)** (2002) 243--265;
MR2003m:18007 ps.gz.

72. (with B.J. Day) Lax monoids,
pseudo-operads, and convolution, in:
"Diagrammatic Morphisms and Applications", *Contemporary Mathematics* **318**
(AMS; ISBN 0-8218-2794-4; April 2003) 75--96; MR2004c:18011; pdf.

73. (with J. Bichon) Militaru's D-equation in monoidal categories, *Applied Categorical Structures* **11** (2003) 337--357; MR2004f:18011; ps.gz.

74. Functorial calculus in
monoidal bicategories, *Applied
Categorical Structures* **11** (2003)
219--227; MR2004f:18010; pdf.

75. (with B.J. Day and P.
McCrudden) Dualizations and antipodes, *Applied
Categorical Structures* **11** (2003)
229--260; MR2004b:18013; pdf.

76. Weak omega-categories, in: ``Diagrammatic
Morphisms and Applications'', *Contemporary
Mathematics* **318** (AMS; ISBN
0-8218-2794-4; April 2003) 207--213; MR 2004c:18008; pdf.

77. (with B.J. Day) Abstract
substitution in enriched categories, *J.
Pure Appl. Algebra* **179 **(2003) 49--63;
MR2004d:18008; pdf.

78. (with A. Davydov)
Roots of unity as a Lie algebra, *Georgian
Mathematical Journal* **9(4)** (2002)
683--690; MR2004c:18010 pdf.

79. (with B.J. Day) Quantum
categories, star autonomy, and quantum groupoids, in "Galois Theory, Hopf Algebras, and Semiabelian
Categories", *Fields Institute
Communications* **43** (American
Math. Soc. 2004) 187--226 (preprint pdf or math.CT/0301209).

80. Categorical and combinatorial
aspects of descent theory, *Applied
Categorical Structures* **12** (2004)
537--576 (preprint at pdf and math.CT/0303175; also see the supplementary expository article [o] below); MR2005h:18022.

81. The monoidal centre as a limit, *Theory
and Applications of Categories ***13(13)**
(ed. G. Janelidze, S. Lack, F.W. Lawvere,
E.M. Vitale and R.J. Wood: volume dedicated to Aurelio Carboni
for his 60th birthday; 2004) 184--190 (old preprint pdf or even older version at math.CT/0304053); MR2005h:18027.

82. (with R. Buchweitz
and A. Davydov) The Gerstenhaber homotopy
in a monoidal bicategory (in preparation).

83. Frobenius
monads and pseudomonoids, *J. Math. Physics* **45(10) **(October
2004) 3930--3948 (old preprint pdf); MR2005h:18026.

84. Monoidal actions, enriched
categories, and convolution (in preparation).

85. [see 18] Cauchy
characterization of enriched categories, *Reprints in
Theory and Applications of Categories*__ 4__ (2004) 1--16.

86. An Australian conspectus of
higher categories, in: *Towards Higher
Categories, *edited by John C. Baez and J. Peter May, The IMA Volumes in
Mathematics and its Applications, Volume **152
**(Springer, 2009) 237--264 (arising from the 2004
Summer Program: n-Categories: Foundations and Applications, 1-18 June 2004 at the IMA of the University of Minnesota,
Minneapolis); available at pdf.

87. (with Brian Day and Elango Panchadcharam) Lax braidings and
the lax centre, in ``Hopf Algebras and Generalizations'',* Contemporary
Mathematics* **441** (2007; pdf; details) 1--17.

88. [see 21] Enriched categories
and cohomology with author commentary, *Reprints in
Theory and Applications of Categories *** 14** (2005) 1--18.

89. (with Brian Day) Centres of monoidal categories of functors, in ``Categories
in Algebra, Geometry and Mathematical Physics'', *Contemporary Mathematics* **431**
(2007) 187--202 (details).

90. [see 39] Quantum Groups: a path to current algebra, *Australian
Math. Society Lecture Series ***19**
(Cambridge University Press; 18 January 2007; ISBN-978-0-521-69524-4).

91. (with Brian Day and Elango Panchadcharam) On centres and lax centres for promonoidal categories, Colloque International ``Charles Ehresmann : 100 ans Universit\'e de Picardie Jules Verne \`a Amiens 7-8-9 Octobre 2005'' <pdf>.

92. (with Eduardo Dubuc) A
construction of 2-filtered bicolimits of categories, *Cahiers de topologie
et g\'eom\'etrie diff\'erentielle cat\'egoriques* **47(2)** (2006) 83--106 <arXiv:0605304>; Corrections 62(2) (2021) 239--242.

93. (with Elango
Panchadcharam) Mackey functors on compact closed
categories, *Journal of Homotopy and Related Structures*
**2(2) **(2007) 261--293;* *http://arxiv.org/abs/0706.2922.

94. (with Elango
Panchadcharam) Pullback and finite coproduct
preserving functors between categories of permutation representations, *Theory and Applications of Categories* **16(28)**
(2006) 771--784 <pdf>.

95. (with Elango
Panchadcharam) Pullback and finite coproduct
preserving functors between categories of permutation representations:
corrigendum and addendum, *Theory and
Applications of Categories*, **18(5)**
(2007) 151--156 <pdf>.

96. (with Craig Pastro) Weak Hopf monoids in
braided monoidal categories, *Algebra and
Number Theory* **3(2)** (2009) 149--207;
http://pjm.math.berkeley.edu/ant/2009/3-2/index.xhtml.

97. (with Craig Pastro) Closed categories, star-autonomy, and monoidal comonads, *Journal of
Algebra ***321(11)** (1 June 2009)
3494--3520 (Special Issue in Honor of Gus Lehrer; http://arxiv.org/abs/0712.0418).

98. (with Craig Pastro) Doubles for monoidal categories, *Theory and Applications of Categories* **21(4)** (2008) 61--75; pdf (also http://arxiv.org/abs/0711.1859).

99. (with Ignacio Lopez-Franco
and Richard Wood) Duals invert, *Applied
Categorical Structures* **19(1)**
(February 2011) 321--362 (published
online 8 September 2009: (special
volume in memory of Max Kelly).

100. (with Ronald Brown) Covering
morphisms of crossed complexes and of cubical omega-groupoids are closed under
tensor product, *Cahiers de topologie et g\'eom\'etrie diff\'erentielle cat\'egoriques* **52(3)**
(2011) 188--208 (also see http://arxiv.org/abs/1009.5609).

101. Weak distributive laws, *Theory and Applications of Categories* **22(12)** (2009) 313--320; <http://www.tac.mta.ca/tac/volumes/22/12/22-12.pdf>.

102.
(with Micah Blake McCurdy) What separable Frobenius
monoidal functors preserve, *Cahiers de topologie et g\'eom\'etrie diff\'erentielle cat\'egoriques* **51(1) **(2010)** **29--50 (volume
celebrating Francis Borceux's '60^{th}
birthday); http://arxiv.org/pdf/0904.3449v1).

103.
(with Dimitri Chikhladze and Stephen Lack) Hopf monoidal comonads, *Theory and
Applications of Categories* **24(19)** (2010) 554--563 (http://www.tac.mta.ca/tac/volumes/24/19/24-19.pdf ; also see http://arxiv.org/pdf/1002.1122).

104.
(with Dominic Verity) The comprehensive factorization and torsors,
*Theory and Applications of Categories* **23(3)** (2010) 42--75; (in
the volume celebrating Dominique Bourn's 60^{th} birthday; pdf).

105.
(with Gabriella Boehm and Stephen Lack) Weak bimonads
and weak Hopf monads, *Journal of Algebra* **328**
(2011) 1--30 (published online at http://dx.doi.org/10.1016/j.jalgebra.2010.07.032; also see http://arxiv.org/abs/1002.4493).

106.
(with Thomas Booker) Torsors, herds and flocks, *Journal of Algebra* **330** (2011) 346--374 (also see http://arxiv.org/abs/0912.4551).

107.
(with Gabriella Boehm and Stephen Lack) On the 2-categories of weak
distributive laws, *Communications in
Algebra* **39(12)** (2011) 4567--4583
(dedicated to Miriam Cohen; also see arXiv:1009.3454).

108.
(with Gabriella Boehm, Thomas Booker, Brian Day and Stephen Lack) Separable
enriched categories and absolute ends (in preparation; handwritten, some typed).

109.
(with Gabriella Boehm and Stephen Lack) Idempotent splittings,
colimit completions, and weak aspects of the theory of monads, *Journal of
Pure and Applied Algebra* **216(2)** (2012) 385--403; also
see arXiv:1102.4931.

110. (see
[65]) Parenthetic remarks, in ``Associahedra, Tamari Lattices
and Related Structures'', Tamari Memorial Festschrift, editors F. Mueller-Hoissen, J. Pallo and J. Stasheff, *Progress in
Mathematics ***299** (Birkhauser, 29 June 2012) 251--268.

111.
(with Thomas Booker) Tannaka duality and convolution
for duoidal categories, *Theory and Applications of Categories* **28(6)** (2013)166--205.

112. The
core of adjoint functors, *Theory and Applications of Categories* **27(4)** (2012) 47--64.

113. Monoidal
categories in, and linking, geometry and algebra, *Bulletin of the Belgian Mathematical Society – Simon Stevin ***19(5) **(2012) 769--821** **(see http://arxiv.org/abs/1201.2991).

114. Categories
in categories, and size matters, *Higher
Structures* **1(1) **(2017)
225—270.

115. (with
Stephen Lack) Skew monoidales, skew warpings and quantum categories, *Theory and
Applications of Categories* **26(15)** (2012) 385--402.

116. Skew-closed
categories, *Journal of Pure and Applied Algebra* **217**(6) (June 2013) 973--988 (doi:
10.1016/j.jpaa.2012.09.020 published online 22 Oct 2012; also see http://arxiv.org/abs/1205.6522).

117.
(with Stephen Lack) A skew-duoidal Eckmann-Hilton argument and quantum categories, *Applied Categorical Structures* **22 **(2014) 789--803 (doi:
10.1007/s10485-013-9356-1; also see http://arxiv.org/abs/1210.8192).

118.
(with Stephen Lack) Triangulations, orientals, and
skew-monoidal categories, *Advances in
Math.* 258 (2014) 351--396.

119.
(with Mitchell Buckley, Richard Garner and Stephen Lack) The Catalan simplicial
set, *Mathematical
Proceedings of the Cambridge Philosophical Society* **158(2)**
(March 2015) 211--222; early version at http://arxiv.org/abs/1307.0265).

120. (with
Stephen Lack) Combinatorial categorical equivalences of Dold-Kan
type, *Journal of Pure and Applied Algebra ***219** (2015) 4343--4367; somewhat corrected version at http://arxiv.org/abs/1402.7151.

121. (with
Stephen Lack) On monads and warpings, *Cahiers de topologie
et g\'eom\'etrie diff\'erentielle cat\'egoriques* **55** (2014) 244--266; pdf.

122. (with
Stephen Lack) Skew-monoidal reflection and lifting theorems, *Theory and
Applications of Categories* **30(28)** (2015) 985--1000; http://arxiv.org/abs/1410.6972.

123. Kan
extensions and cartesian monoidal categories, *Seminarberichte** Mathematik* **87** (FernUniversit\"at
in Hagen, 2015) 89--96; see http://arxiv.org/abs/1409.6405.

124. Pointwise
extensions and sketches in bicategories, http://arxiv.org/abs/1409.6427.

125. Weighted
tensor products of Joyal species, graphs, and
charades, *SIGMA* **12** (2016) 005, 20pp; http://www.emis.de/journals/SIGMA/2016/005/.

126.
(with Hans-E. Porst) Generalizations of the Sweedler
dual, *Applied Categorical Structures* (in the volume to the memory of
Horst Herrlich) **24
**(2016) 619--647.

127.
(with Richard Garner) Coalgebras governing both weighted Hurwitz products and
their pointwise transforms, in: ``New trends in Hopf
algebras and tensor categories'', *Bulletin of the Belgian Mathematical Society
– Simon Stevin ***23** (2016)
643--666; see http://arxiv.org/abs/1510.05323.

128. Wreaths,
mixed wreaths and twisted coactions, *Tbilisi
Mathematical Journal* (in the volume
in honour of Peter Freyd and Bill Lawvere) **10(3)**
(2017) 1--22.

129.
(with George Janelidze) Real sets, *Tbilisi
Mathematical Journal* (in the volume
in honour of Peter Freyd and Bill Lawvere) **10(3)**
(2017) 23--49.

130.
(with Branko Nikoli\'c) Comonadic base change for
enriched categories, *J. Pure Appl. Algebra* **227(8) **(2023) 1--29; also see http://arxiv.org/abs/1809.02356.

131.
(with George Janelidze)
Infinitary addition, real numbers, and taut monads, *Applied Categorical Structures* **26(5)** (2018) 1047--1064.

132.
(with Branko Nikoli\'c) Hopf rings for
grading and differentials; see http://arxiv.org/abs/1806.09318.

133.
Vector product and composition algebras in braided
monoidal additive categories, *Commentationes** Mathematicae
Universitatis Carolinae* (in volume in memory of V\v{e}ra Trnkov\'a) **60(4)** (2019) 581-604; also see http://arxiv.org/abs/1812.04143.

134.
Polynomials as spans, *Cahiers de topologie et g\'eom\'etrie diff\'erentielle cat\'egoriques* **61(2)
**(2020) 113--153; see
http://arxiv.org/abs/1903.03890.

135.
Span composition using fake pullbacks, *Theory and Applications of Categories* (in volume dedicated to Bob Rosebrugh) **36** (2021) 102--117; see http://arxiv.org/abs/1907.02695.

136.
(see [120]; with
Stephen Lack) Corrigendum to ``Combinatorial
categorical equivalences of Dold-Kan type'', *Journal of
Pure and Applied Algebra* **224** (2020) 1364--1366; pdf.

137.
(with Kevin Coulembier and
Michel van den Bergh) Freely adjoining monoidal duals, Mathematical Structures in Computer Science **31** (Special Issue 7: The Power Festschrift ) (August 2021) 748--768; DOI: https://doi.org/10.1017/S0960129520000274; also see http://arxiv.org/abs/2004.09697.

138. (with Branko Nikoli\'c) Monoidal centres
and groupoid-graded categories, *Theory and Applications of Categories ***40(1)** (2024) 3--31 (in volume dedicated to Marta Bunge); http://www.tac.mta.ca/tac/volumes/40/1/40-01.pdf.

139. (with Branko Nikoli\'c and Giacomo Tendas) Cauchy
completeness for DG-categories, *Theory and Applications of Categories* **37(28)** (2021)
940--963; see http://arxiv.org/abs/2012.10157.

140. Variation on a comprehensive theme, *Theory and
Applications of Categories* **37(29)**
(2021) 964--978; see arXiv:2104.02887.

141. (with Alexei Davydov) Extensions and deformation cohomology of tensor categories (in preparation).

142. The
core groupoid can suffice, *Theory and Applications of Categories* **41(21) (2024) 686--706**; also see http://arxiv.org/abs/2208.11332.

143. Wood
fusion and Thi\'ebaud
algebraicity,* Theory and Applications of Categories* (to appear in volume in memorial of F.W.
(Bill) Lawvere); also see http://arxiv.org/abs/2311.07088.

**Volumes Edited**

(with
George Janelidze, John MacDonald and Walter Tholen) Proceedings of CT2004 at UBC (Vancouver), *Theory and Applications of
Categories* **15**.

(with
Aurelio Carboni and George Janelidze)
Special Volume celebrating the 70^{th} birthday of Professor Max Kelly,
*Journal of Pure and Applied Algebra* **175(1-3)** (8 November 2002).

(with
Jawad Abuhlail, Gabriella Boehm, Tomasz Brzezinski,
H. Peter Gumm, Salah-Eddine
Kabbaj and Robert Wisbauer)
"Interactions of Algebraic and Coalgebraic Structures (Theory and
Applications)" *Arabian Journal for
Science and Engineering, Section C: Theme Issues* **33(2 C)** (December 2008).

(with
Maria Manuel Clementino and Samson Abramsky) Special Issues devoted to CT2007
at Carvoeiro (Algarve, Portugal):

a) "Topology and Homotopy" *Applied
Categorical Structures* **17(3)**
(June 2009)

b) "Semi-abelian
Categories" *Applied Categorical
Structures* **17(4)** (August 2009)

c) "Toposes
and Functor Categories" *Applied
Categorical Structures* **18(2) **(April
2010)

d) "Enriched and Higher
Categories" *Applied Categorical
Structures* **18(3)** (June 2010).

(with
Martin Hyland, George Janelidze, Michael Johnson,
Peter Johnstone, Stephen Lack, Walter Tholen and
Richard Wood) Special Issue: Dedicated to the Memory of Professor Gregory
Maxwell Kelly, *Applied Categorical
Structures* **19(1)** (February
2011).

(with Marino
Gran, Maria Manuel Clementino, Manuela Sobral and
Walter Tholen) Special Issue celebrating the 60^{th}
birthday of George Janelidze: *Applied Categorical Structures* **22
**(2014).

(with Bernhard
Banaschewski, Maria Manuel Clementino, Eva Colebunders, George Janelidze and
Walter Tholen) Special Issue dedicated to Professor
Robert Lowen: *Applied
Categorical Structures* **26(5) **(2018).

**Volume Dedicated**

"Categories
in Algebra, Geometry and Mathematical Physics", Conference and Workshop in
honor of Ross Street's 60^{th} Birthday, Macquarie University 11-16
July 2005 and Australian National University 18-21 July 2005; edited by Alexei Davydov, Michael Batanin, Michael
Johnson, Stephen Lack and Amnon Neeman; *Contemporary Mathematics* **431** (American Math. Society, 2007).

**Expository Articles**

a.
Geometry using painting, *Parabola* **10** **#2**
(1974) 8--13.

b.
Numbers from space, *Reflections* **7** (Math. Assoc. of NSW, 1982) 8--10.

c. An
efficient construction of the real numbers, *Gazette
Australian Math. Soc.* **12** (1985)
57--58. Click here for a full version (jointly with Vacation
Scholars James Douglas, Rony Kirollos, Ben Odgers and
Nguyen Hanh Vo; February 2004) including the original article. There is also
the older September 2003 update.

d. The
mathematics of knots, *Reflections* **21 (4)** (Math. Assoc. of NSW, 1996) 12--21.

e. Bicategories and 2-categories, *Encyclopaedia** of Mathematics, Supplement II* (ed. M. Hazewinkel;
Kluwer Academic, 2000) 65--67.

f. Higher-dimensional categories; n-categories, *Encyclopaedia** of Mathematics, Supplement II* (ed. M. Hazewinkel;
Kluwer Academic, 2000) 254--257.

g.
Consequences of splitting idempotents (November 1996, notes; pdf); Addendum

h. Branches of higher dimensional algebra, Talk at Aust Math Soc
Conference at the University of Sydney (30 September 1998)

i. Rationals, reals, complexes! What next? (Blakers Lecture, National Mathematics Summer School, 18
January 1999; it is a talk about quaternions)

j. Trees,
permutations and the tangent function, *Reflections*
**27 (2) **(Math. Assoc. of NSW, May
2002) 19--23; pdf and math.HO/0303267; beamer version.

k.
Powerful functors; pdf

l. The
3-cocycle condition; pdf

m. Formal
representation theory, Invited talk at the Fields Institute (Toronto, Canada,
September 2002); audio and lecture notes.

n. **Lack's lemma**** **on comma
objects**.**

o.
Lecture at ICIAM 2003 (11 July 2003) "Categorical and combinatorial
aspects of descent theory", 2003ICIAM.pdf* *(while this is intended to be
self-contained, it is supplementary to [80] above).

p.
Monoidal categories for the combinatorics of group representations; pdf

q. Frobenius algebras and monoidal categories, Lecture at the Annual Meeting
of the Australian Math. Soc. (29 September 2004).

r. Bicategories

t. Talk to Macquarie Philosophy Students' Society

u. Sculptured Journey, *aMUSine* Issue **8**:
"Journeys"

v. Duality and well pointedness

w. Euler’s polyhedron formula and Platonic solids

**Book Reviews**

I. Review of: J.W. Gray, *Formal
Category Theory: Adjointness for 2-Categories*
(Lecture Notes in Math. **391**,
Springer 1974); in *Mathematical Reviews*
51#8207 (April 1976) 1153.

II. Review of: Kirill Mackenzie, *Lie Groupoids and Lie Algebroids in Differential Geometry* (London
Math. Soc. Lecture Note Series No.**124**,
Cambridge University Press 1987); in *Gazette
Australian Math. Soc.* **16#3** (June
1989) 66--68.

III. Review of: Colin McLarty, *Elementary Categories, Elementary Toposes*
(Oxford University Press 1992); in *Zentralblatt** f\"ur Mathematik* **762 (12)** (1993) #18001.

IV. Review of: Robert Gordon, *G-Categories* (Memoirs Amer. Math. Soc. **101** (1993) #482); in *Mathematical
Reviews* MR# 93f:18003.

V. Review of: Frederick Chong and Ronald J. Andrews, *A View of Mathematics: Big Picture Plus
Close-ups* (The Mathematical Association of New South Wales, March 1995), *Gazette Australian Math. Soc.* **23 (5)** (1996) 214--215.

VI. Review of: David N. Yetter, *Functorial knot theory: Categories of
tangles, coherence, categorical deformations, and topological invariants *(Series
on Knots and Everything **26**, World
Scientific, Singapore, 2001): in *Bulletin
of the London Mathematical Society ***35**
(2003) 137--139.

VII. Review of: Tom Leinster, *Higher
Operads, Higher Categories,* (London Math. Soc.
Lecture Note Series **298**, Cambridge
University Press 2004); in *Mathematical
Reviews *MR2094071.

VIII. Review of: Peter T. Johnstone, *Sketches of an elephant. A topos theory
compendium. I and II *(Oxford Logic Guides **44**; Oxford Science Publications. Oxford: Clarendon Press, 2002); in
*Zentralblatt** f\"ur Mathematik* Zbl 1071.18002.

IX. Review of: Steve Awodey, *Category
Theory* (Oxford Logic Guides **49**;
Oxford University Press (2006) 256 pp.); in *Zentralblatt** f\"ur Mathematik*
Zbl 1100.18001.

X. Review of: Eckmann-Tierney eds: *Seminar on Triples and Categorical Homology
Theory* (Repr. Theory Appl. Categ. No. 18 (2008) 303 pp.); in *Mathematical Reviews* MR2410935 (2009m:18005).

XI. Review of: Jean-Pierre Marquis, *From a geometrical point of view*. *A study of the history and philosophy of category theory* (Logic,
Epistemology, and the Unity of Science **14**:
Springer, Dordrecht, 2009); in *Mathematical
Reviews* MR2730089.

XII. Review of: John C. Baez, Aristide Baratin,
Laurent Freidel and Derek K. Wise:
Infinite-dimensional representations of 2-groups, (Memoirs American Math. Soc. **219(1032)**); in *Mathematical Reviews* MR2978538.

XIII. Review of: Marco Grandis, *Homological
algebra. The interplay of homology with distributive lattices and orthodox
semigroups.* (Hackensack, NJ: World Scientific, 2012); in *Zentralblatt** f\"ur Mathematik
*Zbl 1280.18001.

XIV. Review of: Nick Gurski, *Coherence
in Three-Dimensional Category Theory,* Cambridge Tracts in
Mathematics **201 **(CUP, 2013); in *Zentralblatt** fuer Mathematik.*

XV. Review of: Daniel Sch\"appi, *The Formal Theory of Tannaka
Duality*, Ast\'erisque **357** (Soci\'et\'e
Math\'ematique de France, 2013); in *Zentralblatt** f\"ur Mathematik.*

XVI. Review
of: Paul Balmer and Ivo Dell’Ambrogio, *Mackey 2-functors and Mackey 2-motives*, Monographs in Math. (Eur. Math. Soc. 2020); in *Mathematical Reviews* MR4192744.

**Speech**

In
celebration of Professor Chong's eightieth birthday, *Reflections* **24 (2)** (May,
1999) 2—3; also see Review V.

**Obituaries and biographies**

Professor
Frederick Chong, *Gazette Austral. Math.
Society* **26 #4** (October 1999)
211--213; pdf.

Professor
G. Maxwell Kelly, "Polymath revelled in the
mystery of numbers" *Sydney
Morning Herald* (Timelines 11 April 2007).

Professor G. Maxwell Kelly, *Gazette Austral. Math. Society* **34
#2 **(May 2007) 94--96.

(with W.
Chen and K. Matthews) Dr Peter Pleasants, *Gazette
Austral. Math. Society* **35 #3 **(July
2008) 162--165.

"Gregory
Maxwell Kelly 1930-2007", *Historical Records of
Australian Science* **21(2)** (CSIRO Publishing,
2010) 237--251.

"Brian
John Day 16 January 1945 - 16 June 2012", *Gazette
Austral. Math. Society* **40** **#2** (May 2013)** **99--101.

"Chong, Frederick (Fred) (1915–1999)", Obituaries
Australia, National
Centre of Biography (Australian National University).

**Other widely circulated output**

i. The universal property of the representation functor (1972).

ii.
(editor, with G.M. Kelly) *Abstracts of
the Sydney Category Seminar 1972.* (First printing at Univ. of NSW; second at Macquarie
University).

iii. The calculus of modules (1976).

iv. Topos theory: Survey (1978), Notes for a senior algebra course (1978), Lectures at Monash Univ. (Jan 1974), Topic list at Christchurch New Zealand (Nov 2004).

v. The comprehensive construction of free colimits, *Macquarie Math. Reports 79000* (1979).

vi. (see
[104]) One-dimensional non-abelian cohomology, *Macquarie Math. Reports 810024* (1981).

vii. An
unpublished theorem of P.J. Freyd and R. Street
discussed with attribution in [G.M. Kelly and V. Koubek,
The large limits that all good categories admit, *J. Pure Appl. Algebra* 22 (1981)
253-263].

viii.
(with B.J. Day) An additive Giraud theorem (1984).

ix. (with
A. Joyal) Braided monoidal categories, *Macquarie Math Reports 860081* (1986); *Macquarie Math Reports 850067* (1985).

x. Gray's tensor product of 2-categories (February 1988).

xi. A
construction of the Azumaya complex, on page 116 of
``The Azumaya complex of a commutative ring'' by J.W.
Duskin, *Lecture
Notes in Math.* **1348** (1988)107--117;
MR90c:13003.

xii.
(with A. Joyal) Planar diagrams and tensor algebra (1988).

xiii.
Higher descent structures, Geometric and Logical Aspects of Descent Theory 17.09.-23.09.1995
(Tagungsbericht 38/1995, Mathematisches
Forschungsinstitut Oberwolfach).

xiv. Higher-dimensional nerves (handwritten notes, 1982).

**Other material.**

A. (with
S. Eilenberg) Rewrite systems, algebraic structures, and higher-order
categories (handwritten manuscripts; for example).

B. (with
G.J. Bird, G.M. Kelly and A.J. Power) Explicit formulas for the strict
reflections of pseudo and lax natural transformations.

C. The Tannakian adjunction.

D. Complex functorial analysis

F. Complete objects relative to a theory (June 1976)

G. Understanding Steiner (8 October 1990)

I. Synthetic Plane Projective Geometry (Lecture Notes, 1971)

J. Note on Hall's Marriage Theorem

K. Skew monads