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  Centre of Australian Category Theory

Publications

Reports

Centre of Australian Category Theory reports to the Council 2000 | 2001 | 2002 ~pdf

Please note that the reports can be viewed using Acrobat Reader, which can be downloaded for free from Adobe.

Publications

  1. Brian Day and Ross Street, Lax monoids, pseudo-operads, and convolution, in: "Diagrammatic Morphisms and Applications", Contemporary Mathematics 318 (AMS; ISBN 0-8218-2794-4; April 2003) 75-96.

  2. Julien Bichon and Ross Street, Militaru's D-equation in monoidal categories, Applied Categorical Structures 11 (2003) 337-357.

  3. Ross Street, Functorial calculus in monoidal bicategories, Applied Categorical Structures 11 (2003) 219-227.

  4. Brian Day, Paddy McCrudden and Ross Street, Dualizations and antipodes, Applied Categorical Structures 11 (2003) 229-260.

  5. Ross Street, Weak omega-categories, in: "Diagrammatic Morphisms and Applications", Contemporary Mathematics 318 (American Math. Soc.; ISBN 0-8218-2794-4; April 2003) 207-213.

  6. Brian Day and Ross Street, Abstract substitution in enriched categories, J. Pure Appl. Algebra 179 (2003) 49-63.

  7. Brian Day, Quantum categories, star autonomy, and quantum groupoids, in "Galois Theory, Hopf Algebras, and Semiabelian Categories", Fields Institute Communications 43 (American Math. Soc. 2004) 193-231.

  8. Ross Street, Cauchy characterization of enriched categories, Reprints in Theory and Applications of Categories 4 (2004) 1-16.

  9. J.R.B. Cockett and S. Lack, Restriction categories II: partial map classification, Theoretical Computer Science 294 (2003) 61-102.

  10. Stephen Lack and Marta Bunge, Van Kampen theorems for toposes, Advances in Math. 179 (2003) 291-317.

  11. Stephen Lack and Pawel Sobocinski, Adhesive categories, Foundations of Software Science and Computation Structures: Proceedings of the international conference FOSSACS04 Lecture Notes in Computer Science 2987 (Springer, 2004) 273-288.

  12. Michael Johnson and Robert Rosebrugh, Database Interoperability Through State Based Logical Data Independence, International Journal of Computer Applications in Technology 16 (2003) 97-102. © Inderscience

  13. Michael Johnson and Rosebert Rosebrugh. Three approaches to partiality in the sketch data model, ENTCS, Volume 78 (2003) 1-18. © Elsevier Science

  14. William P. Joyce, Quark state confinement as a consequence of the extension of the Bose-Fermi recoupling to $\rm SU(3)$ colour. J. Physics A 36 (2003) 12329-12341.

  15. W. Joyce, Braided premonoidal Mac Lane coherence, J. Pure Appl. Algebra 190 (2004) 155-176.

  16. Marco Grandis and George Janelidze, Galois theory of simplicial complexes. Topology Appl. 132 (2003) 281-289.

  17. Aurelio Carboni and George Janelidze, Smash product of pointed objects in lextensive categories. J. Pure Appl. Algebra 183 (2003) 27-43.

  18. George Janelidze, Internal crossed modules. Georgian Math. J. 10 (2003) 99-114.

  19. Dominique Bourn and George Janelidze, Characterization of protomodular varieties of universal algebras. Theory Appl. Categ. 11 (2003) 143-147.

  20. George Janelidze and László Márki, Kurosh-Amitsur radicals via a weakened Galois connection, Comm. Algebra 31 (2003) 241-258.

  21. C.N.G. Dampney and Michael Johnson, Experience in developing interoperations among legacy information systems using partial reverse engineering, Proceedings of ICSM (IEEE Publications, 2003) 369-372.

  22. P.H. Butler, W.P. Joyce, L.F. McAven and B.G. Searle, Recursive calculation of non-primitive coupling and recoupling brakets, Canadian Journal of Physics 80(8) (2003) 1051-1066.

  23. W. Joyce, P. Butler and H. Ross, The Racah Wigner Category Canadian J. Phys. 80 (6) (2002) 613-632.

  24. W. P. Joyce, The Boson/Fermion Statistic for SU(3) Colour requires Quark Confinement, Proceedings of the XXIV International Colloquium on Group Theoretical Methods in Physics, Paris 2002 (2003).

  25. M. Batanin, On the Penon method of weakening of algebraic structures, J. Pure Appl. Algebra 172 (2002) 1-23.

  26. G.M. Kelly, A. Labella, V. Schmitt and R. Street, Categories enriched on two sides, J. Pure Appl. Algebra 168 (2002) 53-98.

  27. S. Lack and R. Street, The formal theory of monads II, J. Pure Appl. Algebra 175 (2002) 243-265.

  28. B.J. Day and R. Street, Lax monoids, pseudo-operads, and convolution, in: "Diagrammatic Morphisms and Applications", Contemporary Mathematics 318 (American Math Soc. 2003) 75-96.

  29. R. Street, Trees, permutations and the tangent function, Reflections 27 (2) (Math. Assoc. of NSW, May 2002) 19-23; also arXiv: math.HO/0303267.

  30. A. Davydov and R. Street, Roots of unity as a Lie algebra, Georgian Mathematical Journal 9(4) (2002) 683-690.

  31. A. Davydov, K-theory of braided monoidal categories, K-Theory 27 (2002) 371-389.

  32. J.R.B. Cockett and S. Lack, Restriction categories I: categories of partial maps, Theoretical Computer Science 270 (2002) 223-259.

  33. J. Adamek, F. Borceux, S. Lack and J. Rosicky, A classification of accessible categories, J. Pure Appl. Algebra 175 (2002) 7-30.

  34. S. Lack, Codescent objects and coherence, J. Pure Appl. Algebra 175 (2002) 223-241.

  35. S. Lack, A Quillen model structure for 2-categories, K-Theory 26 (2002) 171-205.

  36. A. Carboni, G. Janelidze and R. Street, Foreword [on the 70th birthday of Gregory Maxwell Kelly]. Special volume celebrating the 70th birthday of Professor Max Kelly. J. Pure Appl. Algebra 175 (2002) 1-5.

  37. G. Janelidze, G.M. Kelly, A note on actions of a monoidal category. Theory Appl. Categ. 9 (2001/2), 61-91.

  38. P. McCrudden, Tannaka duality for Maschkean Categories, J. Pure. Appl. Algebra 168 (2002) 265-307.

  39. Paddy McCrudden, Opmonoidal monads, Theory and Applications of Categories 10 (2002) 469-485.

  40. Michael Johnson and Robert Rosebrugh, Database Interoperability Through State Based Logical Data Independence, International Journal of Computer Applications in Technology 16 (2-3) (2003) 97-102.

  41. Michael Johnson, Robert Rosebrugh and Richard Wood, Entity Relationship Attribute Designs and Sketches, Theoy and Application of Categories 10 (2002) 94-112.

  42. Michael Johnson and Robert Rosebrugh, Sketch Data Models, Relational Schema and Data Specifications, ENTCS 61 (6) (2002) 1-13.

  43. C.N.G Dampney and Michael Johnson, Enterprise Information Systems: Specifying the links among project data models using category theory, Enterprise Information Systems III (Eds J. Filipe, B. Sharp, and P. Miranda; Kluwer 2002) 191-197.

  44. Richard Buckland, Michael Johnson and Dominic Verity, On the specification of Higher Dimensional Automata, ENTCS 68 (2002) 1-13.
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