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Centre of Australian Category Theory

Publications

Since 2009

  1. Michael Batanin and Clemens Berger, The lattice path operad and Hochschild cochains, in Alpine perspectives on algebraic topology, Contemporary Mathematics 504, American Mathematical Society, 2009.
  2. Stephen Lack and John Power, Gabriel-Ulmer duality and Lawvere theories enriched over a general base, Journal of Functional Programming 19(3-4):265-286, 2009.
  3. Stephen Lack, A 2-categories companion, in Towards Higher Categories, eds. John C. Baez and J. Peter May, Springer, 2009.
  4. Craig Pastro and Ross Street, Weak Hopf monoids in braided monoidal categories, Algebra and Number Theory 3(2):149-207, 2009.
  5. Craig Pastro and Ross Street, Closed categories, star-autonomy, and monoidal comonads, Journal of Algebra 321(11):3494-3520, 2009.
  6. Ross Street, Weak distributive laws, Theory and Applications of Categories 22(12):313-320, 2009.
  7. Michael Batanin, Locally constant n-operads as higher braided operads, Journal of Noncommutative Geometry, 4(2):237-263, 2010.
  8. Michael Batanin, André Joyal, Joachim Kock and Jean-François Mascari, Polynomial functors and opetopes, Advances in Mathematics 224(6):2690-2737, 2010.
  9. Richard Garner, Homomorphisms of higher categories, Advances in Mathematics 224(6):2269-2311, 2010.
  10. Dimitri Chikhladze, Stephen Lack and Ross Street, Hopf monoidal comonads, Theory and Applications of Categories 24(19):554-563, 2010.
  11. Michael Johnson, Robert Rosebrugh and Richard Wood, Algebras and update strategies, Journal of Universal Computer Science 16(5):729-748, 2010.
  12. Stephen Lack, Icons, Applied Categorical Structures, 18(3):289-307, 2010.
  13. Stephen Lack, Note on the construction of free monoids, Applied Categorical Structures 18(1):17-29, 2010.
  14. Stephen Lack, Robert Walters and Richard Wood, Bicategories of spans as cartesian bicategories, Theory and Applications of Categories 24(1):1-24, 2010.
  15. Micah Blake McCurdy and Ross Street, What separable Frobenius monoidal functors preserve, Cahiers de topologie et géométrie différentielle catégoriques 51(1):29-50, 2010.
  16. Ross Street and Dominic Verity, The comprehensive factorization and torsors, Theory and Applications of Categories 23(3):42-75, 2010.
  17. Michael Batanin and Mark Weber, Algebras of higher operads as enriched categories, Applied Categorical Structures 19(1):93-135, 2011.
  18. Thomas Booker and Ross Street, Torsors, herds and flocks, Journal of Algebra 330:346-374, 2011.
  19. Ronald Brown and Ross Street, Covering morphisms of crossed complexes and of cubical omega-groupoids with connection are closed under tensor product, Cahiers de topologie et géométrie différentielle catégoriques 52(3):188-208, 2011.
  20. Alain Bruguières, Stephen Lack and Alexis Virelizier, Hopf monads on monoidal categories, Advances in Mathematics 227(2):745-800, 2011.
  21. Gabriella Böhm, Stephen Lack and Ross Street, On the 2-category of weak distributive laws, Communications in Algebra 39(12):4567-4583, 2011.
  22. Gabriella Böhm, Stephen Lack and Ross Street, Weak bimonads and weak Hopf monads, Journal of Algebra 328(1):1-30, 2011.
  23. Dimitri Chikhladze, Elements of enriched and quantum category theory, Bulletin of the Australian Mathematical Society, 83(3):518-519, 2011.
  24. Dimitri Chikhladze, Barr's embedding theorem for enriched categories, Journal of Pure and Applied Algebra 215(9):2148-2153, 2011.
  25. Dimitri Chikhladze, A category of quantum categories, Theory and Applications of Categories 25(1):1-37, 2011.
  26. Carolyn Kennett, Emily Riehl, Michael Roy and Michael Zaks, Levels in the toposes of simplicial sets and cubical sets, Journal of Pure and Applied Algebra 215(5):949-961, 2011.
  27. Stephen Lack and Jiri Rosicky, Notions of Lawvere theory, Applied Categorical Structures 19(1):363-391, 2011.
  28. Stephen Lack, A Quillen model structure for Gray-categories, Journal of K-theory 8(2):183-221, 2011,
  29. Stephen Lack, An embedding theorem for adhesive categories, Theory and Applications of Categories 25(7):180-188, 2011.
  30. Ignacio Lopez-Franco, Ross Street and Richard Wood, Duals invert, Applied Categorical Structures 19(1):321-362, 2011.
  31. Emily Riehl, On the structure of simplicial categories associated to quasi-categories, Mathematical Proceedings of the Cambridge Philosophical Society 150(3):489-504, 2011.
  32. Dominic Verity, Enriched categories, internal categories and change of base, Reprints in Theory and Application of Categories 20, 2011.
  33. Benno van den Berg and Richard Garner, Topological and simplicial models of identity types, Transactions of the ACM on Computational Logic 13(1):1-44, 2012.
  34. Gabriella Böhm, Stephen Lack and Ross Street, Idempotent splittings, colimit completions, and weak aspects of the theory of monads, Journal of Pure and Applied Algebra 216(2):385-403, 2012.
  35. Richard Garner, Remarks on exactness notions pertaining to pushouts, Theory and Applications of Categories 27(1):2-9, 2012.
  36. Richard Garner and Stephen Lack, Grothendieck quasitoposes, Journal of Algebra 355(1):111-126, 2012.
  37. Richard Garner and Stephen Lack, Lex colimits, Journal of Pure and Applied Algebra 216(6):1372-1396, 2012.
  38. Stephen Lack and Michael Shulman, Enhanced 2-categories and limits for lax morphisms, Advances in Mathematics 229(1):294-356, 2012.
  39. Stephen Lack, Non-canonical isomorphisms, Journal of Pure and Applied Algebra 216(3):593-597, 2012.
  40. Richard Garner, An abstract view on syntax with sharing, Journal of Logic and Computation, to appear.
  41. Richard Garner, Ionads, Journal of Pure and Applied Algebra, to appear.
  42. Stephen Lack and Jiri Rosicky, Enriched weakness, Journal of Pure and Applied Algebra, to appear.
  43. Ross Street, Monoidal categories in, and linking, geometry and algebra, Bulletin of the Belgian Mathematical Society, to appear.
  44. Ross Street, Parenthetic Remarks, Progress in Mathematics, to appear.