Weak n-categories: Opetopic and multitopic foundations

Journal of Pure and Applied Algebra

Volumn 186, Issue 2, 2004, Pages 109-137

  Cheng, Eugenia ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242635974     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(03)00139-7     Document Type: Article

References (21)

1. Baez J. Dolan J. Higher-dimensional algebra III: n-categories and the algebra of opetopes Adv. Math. 135 2 1998 145-206 Also available via http://math.ucr.edu/home/baez
2. Batanin M.A. Monoidal globular categories as a natural environment for the theory of weak n-categories Adv. Math. 136 1 1998 39-103
3. E. Cheng, An alternative characterisation of universal cells in opetopic n-categories, October 2002. E-print math.CT/0304286.
4. E. Cheng, The category of opetopes and the category of opetopic sets, October 2002. E-print math.CT/0304284.
5. E. Cheng, Opetopic bicategories: comparison with the classical theory, October 2002. E-print math.CT/0304285.
6. E. Cheng, A relationship between trees and Kelly-Mac Lane graphs, October 2002. E-print math.CT/0304287.
7. E. Cheng, The theory of opetopes via Kelly-Mac Lane graphs, October 2002. E-print math.CT/0304288.
8. E. Cheng, Weak n-categories: comparing opetopic foundations, J. Pure Appl. Algebra, submitted for publication. preprint available via http://www.dpmms.cam.ac.uk/~elgc2 X-ref: S0022-4049(03)00140-3.
9. E. Cheng, M. Hyland, J. Power, Pseudo-distributive laws, MFPS XIX, to appear in Electronic Notes in Theoretical Computer Science 83 (2003).
10. C. Hermida, M. Makkai, J. Power, On weak higher dimensional categories, 1997. Available via http://triples.math.mcgill.ca
11. C. Hermida, M. Makkai, J. Power, Higher dimensional multigraphs, Thirteenth Annual IEEE Symposium on Logic in Computer Science, IEEE Computer Society, Los Alamitos, CA, 1998. pp. 199-206.
12. Hermida C. Makkai M. Power J. On weak higher-dimensional categories I: Part 1 J. Pure Appl. Algebra 154 2000 221-246
13. Hermida C. Makkai M. Power J. On weak higher-dimensional categories I-2 J. Pure Appl. Algebra 157 2001 247-277
14. T. Leinster, Operads in higher dimensional category theory, Ph.D. Thesis, University of Cambridge, July 2000.
15. Leinster T. A survey of definitions of n-category Theory Appl. Categories 10 2002 1-70
16. P. May, Operadic categories, A∞-categories and n-categories, Notes of a talk given at Morelia, Mexico on 25 May 2001.
17. Penon J. Approche polygraphique des ∞-catégories non strictes Cahiers de Topologie et Géométrie Différentielle Catégoriques XL-1 1999 31-80
18. Power J. A 2-categorical pasting theorem J. Algebra 129 1990 439-445
19. J. Power, An n-categorical pasting theorem, in: Category Theory, Proceedings, Como 1990, Springer Lecture Notes in Mathematics, Vol. 1488, Springer, Berlin, 1991, pp. 326-358.
20. Street R. The algebra of oriented simplexes J. Pure Appl. Algebra 49 3 1987 283-335
21. Tamsamani Z. Sur des notions de n-catégorie et n-groupoide non-strictes via des ensembles multi-simpliciaux K-Theory 16 1 1999 51-99