@article{CTGDC_2011__52_2_82_0, author = {Cheng, Eugenia and Gurski, Nick}, title = {The periodic table of n-categories II: degenerate tricategories}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, volume = {52}, year = {2011}, pages = {82-125}, mrnumber = {2839900}, zbl = {1253.18002}, language = {en}, url = {http://dml.mathdoc.fr/item/CTGDC_2011__52_2_82_0} }
Cheng, Eugenia; Gurski, Nick. The periodic table of n-categories II: degenerate tricategories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 52 (2011) pp. 82-125. http://gdmltest.u-ga.fr/item/CTGDC_2011__52_2_82_0/
[1] Higher-dimensional algebra and topological quantum field theory. Jour. Math. Phys., 36:6073-6105, 1995. | MR 1355899 | Zbl 0863.18004
and .[2] Higher-dimensional algebra IV: 2-tangles. Adv. Math., 180:705-764, 2003. | MR 2020556 | Zbl 1039.57016
and .[3] Iterated monoidal categories. Advances in Mathematics, 176:277-349, 2003. | MR 1982884 | Zbl 1030.18006
, , , and .[4] The Eckmann-Hilton argument, higher operads and En-spaces. Adv. Math., 217(1):334-385, 2008. Available via math/0207281. | MR 2365200 | Zbl 1138.18003
.[5] The periodic table of n-categories for low dimensions I: degenerate categories and degenerate bicategories. In Batanin, Davydov, Johnson, Lack, and Neeman, editors, Categories in Algebra, Geometry and Mathematical Physics, proceedings of Streetfest, volume 431 of Contemporary Math., pages 143-164. AMS, 2007. E-print 0708.1178. | Zbl 1142.18003
and .[6] Towards an n-category of cobor disms. Theory and Applications of Categories, 18:274-302, 2007. | MR 2326433 | Zbl 1126.18002
and .[7] Higher dimensional categories: an illustrated guide book, 2004. Available via http://www.math.uchicago.edu/~eugenia/guidebook.
and .[8] The low-dimensional structures formed by tricategories. Mathematical Proceedings of the Cambridge Philosophical Society, 146:551-589, 2009. | MR 2496344 | Zbl 1169.18001
and .[9] Coherence for tricategories. Memoirs of the American Mathematical Society, 117(558), 1995. | MR 1261589 | Zbl 0836.18001
, , and .[10] Pursuing stacks, 2005. Letter to Quillen.
.[11] An algebraic theory of tricategories. PhD thesis, University of Chicago, June 2006. Available via http://www.math.yale.edu/~mg622/tricats.pdf. | MR 2717302
.[12] Nerves of bicategories as stratified simplicial sets. Journal of Pure and Applied Algebra, 213(6):927-946, 2009. | MR 2498786 | Zbl 1188.18004
.[13] Weak units and homotopy 3-types. In Batanin, Davydov, Johnson, Lack, and Neeman, editors, Categories in Algebra, Geometry and Mathematical Physics, proceedings of Streetfest, volume 431 of Contemporary Math., pages 257-276. AMS, 2007. | Zbl 1137.18004
and .[14] Braided tensor categories. Advances in Mathematics, 102:20-78, 1983. | MR 1250465 | Zbl 0817.18007
and .[15] Weak identity arrows in higher categories. Internat. Math. Res. Papers, 2006:1-54, 2006. | MR 2210659 | Zbl 1158.18008
.[16] 2-nerves for bicategories. K-Theory, 38(2):153-175, 2008. E-print math.CT/0607271. | MR 2366560 | Zbl 1155.18006
and .[17] Generalized enrichment for categories and multicategories, 1999. E-print math. CT/9901139. | Zbl 1009.18006
.[18] Moral degeneracy in the periodic table, 2000. seminar at DPMMS, Cambridge.
.[19] 3-computads do not form a presheaf category, 2001. Personal letter to Michael Batanin; also available via http://duch.mimuw.edu.pl/~zawado/Cex.pdf.
and .[20] Balanced coalgebroids. Theory and Applications of Categories, 7(6):71-147, 2000. | MR 1764504 | Zbl 0960.18005
.[21] Limits in n-categories, 1997. E-print alg-geom/9708010.
.[22] Homotopy types of strict 3-groupoids, 1998. math.CT/9810059.
.