Geometry & Topology Volume 14, issue 1 (2010)

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A cartesian presentation of weak $n$–categories

Charles Rezk

Geometry & Topology 14 (2010) 521–571

DOI: 10.2140/gt.2010.14.521

Bibliography

1	J C Baez, J Dolan, Categorification, from: "Higher category theory (Evanston, IL, 1997)" (editors E Getzler, M Kapranov), Contemp. Math. 230, Amer. Math. Soc. (1998) 1 MR1664990
2	C Barwick, Extended research statement (2007)
3	C Berger, A cellular nerve for higher categories, Adv. Math. 169 (2002) 118 MR1916373
4	C Berger, Iterated wreath product of the simplex category and iterated loop spaces, Adv. Math. 213 (2007) 230 MR2331244
5	J E Bergner, A model category structure on the category of simplicial categories, Trans. Amer. Math. Soc. 359 (2007) 2043 MR2276611
6	J E Bergner, Three models for the homotopy theory of homotopy theories, Topology 46 (2007) 397 MR2321038
7	E Cheng, Higher dimensional categories: An illustrated guide book (2004)
8	D Dugger, Universal homotopy theories, Adv. Math. 164 (2001) 144 MR1870515
9	P S Hirschhorn, Model categories and their localizations, Math. Surveys and Monogr. 99, Amer. Math. Soc. (2003) MR1944041
10	A Hischowitz, C Simpson, Descente pour les $n$–champs arXiv:math/9807049
11	M Hovey, Model categories, Math. Surveys and Monogr. 63, Amer. Math. Soc. (1999) MR1650134
12	A Joyal, Disks, duality, and $\Theta$–categories, Preprint (1999)
13	A Joyal, M Tierney, Quasi-categories vs Segal spaces, from: "Categories in algebra, geometry and mathematical physics" (editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman), Contemp. Math. 431, Amer. Math. Soc. (2007) 277 MR2342834
14	T Leinster, A survey of definitions of $n$–category, Theory Appl. Categ. 10 (2002) 1 MR1883478
15	J Lurie, On the classification of topological field theories arXiv:0905.0465
16	C Rezk, A model for the homotopy theory of homotopy theory, Trans. Amer. Math. Soc. 353 (2001) 973 MR1804411
17	Z Tamsamani, Sur des notions de $n$–catégorie et $n$–groupoïde non strictes via des ensembles multi-simpliciaux, $K$–Theory 16 (1999) 51 MR1673923