Eugenia Cheng's
Research papers

  1. The category of opetopes and the category of opetopic sets.  In Theory and Applications of Categories, 11:353--374, 2003.  E-print math.CT/0304284

  2. Pseudo-distributive laws.  With Martin Hyland and John Power, in Electronic Notes in Theoretical Computer Science, 83, 2004.

  3. Weak n-categories: opetopic and multitopic foundations.  In Journal of Pure and Applied Algebra, 186(2):109--137, 2004.  E-print math.CT/0304277

  4. Weak n-categories: comparing opetopic foundations.  In Journal of Pure and Applied Algebra, 186(3):219--231, 2004.  E-print math.CT/0304279

  5. A relationship between trees and Kelly-Mac Lane graphs.  In Mathematical Proceedings of the Cambridge Philosophical Society, 141(1):33-56, 2006.  E-print math.CT/0304287

  6. The periodic table of n-categories for low dimensions I: degenerate categories and degenerate bicategories.  With Nick Gurski. In Categories in Algebra, Geometry and Mathematical Physics, proceedings of Streetfest, editors Batanin et al, Contemporary Math. AMS 431:143-164, 2007.  Also available here, and on the arXiv 0708.1178

  7. An omega-category with all duals is an omega groupoid.  In Applied Categorical Structures, 15(4):439--453, 2007. Also available here.

  8. Towards an n-category of cobordisms. With Nick Gurski, 2006.  In Theory and Applications of Categories, 18:274-302, 2007. E-print 0708.1178.

  9. Monad interleaving: a construction of the operad for Leinster's weak omega-categories. In Journal of Pure and Applied Algebra, 214:809--821, 2009. Also available here.

  10. A note on Penon's definition of weak n-category. (With Michael Makkai). In Cahiers de Topologie et Géométrie Différentielle Catégoriques, 50:83--101, 2009. E-print 0907.3961.

  11. Iterated distributive laws. In Mathematical Proceedings of the Cambridge Philosophical Society, 150(3):459--487, 2011. E-print 0710.1120.

  12. Comparing operadic theories of n-category, 2008, 47 pages. In Homotopy, Homology and Applications, 13(2):217–249, 2011.
    E-print 0809.2070.

  13. The periodic table of n-categories for low dimensions II: degenerate tricategories.  (With Nick Gurski). 33 pages. In Cahiers de Topologie et Géométrie Différentielle Catégoriques 52:82–125, 2011. E-print 0706.2307.

  14. Distributive laws for Lawvere Theories, 2011. 36 pages. To appear in Algebra Universalis. E-print 1112.3076 .

  15. A direct proof that the category of 3-computads is not cartesian closed. 8 pages. Cahiers de Topologie et Géométrie Différentielle Catégoriques, 54:3-12 (2013). E-print 1209.0414.

  16. Cyclic multicategories, multivariable adjunctions and mates. (With Nick Gurski and Emily Riehl). Journal of K-Theory, 13(2):337-396, 2014. E-print 1208.4520 

  17. Iterated icons. (With Nick Gurski).  To appear in Theory and Applications of Categories.  E-print 1308.6495


Non-specialist (for non-specialist preprints click here)
Preprints

Ph.D. thesis, supervised by Martin Hyland

Submitted book

Slides from talks



Last updated 3rd October 2014, 19:47
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