Algebraic & Geometric Topology Volume 15, issue 4 (2015)

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Quasi-unital $\infty$–categories

Yonatan Harpaz

Algebraic & Geometric Topology 15 (2015) 2303–2381

DOI: 10.2140/agt.2015.15.2303

Bibliography

1	J E Bergner, A model category structure on the category of simplicial categories, Trans. Amer. Math. Soc. 359 (2007) 2043 MR2276611
2	W G Dwyer, D M Kan, Function complexes in homotopical algebra, Topology 19 (1980) 427 MR584566
3	W G Dwyer, D M Kan, Simplicial localizations of categories, J. Pure Appl. Algebra 17 (1980) 267 MR579087
4	Y Harpaz, The cobordism hypothesis in dimension $1$, arXiv:1210.0229
5	V Hinich, Dwyer–Kan localization revisited, arXiv:1311.4128
6	P S Hirschhorn, Model categories and their localizations, Math. Surv. Monogr. 99, Amer. Math. Soc. (2003) MR1944041
7	M Hovey, Model categories, Math. Surv. Monogr. 63, Amer. Math. Soc. (1999) MR1650134
8	A Joyal, J Kock, Weak units and homotopy $3$–types, 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) 257 MR2342833
9	A Joyal, J Kock, Coherence for weak units, Doc. Math. 18 (2013) 71 MR3035770
10	J Kock, Weak identity arrows in higher categories, Int. Math. Res. Pap. (2006) 1 MR2210659
11	J Lurie, Higher topos theory, Ann. Math. Studies 170, Princeton Univ. Press (2009) MR2522659
12	J Lurie, On the classification of topological field theories, from: "Current developments in mathematics, 2008" (editors D Jerison, B Mazur, T Mrowka, W Schmid, R Stanley, S T Yau), Int. Press (2009) 129 MR2555928
13	J Lurie, Higher algebra, book in preparation (2014)
14	V Puppe, A remark on “homotopy fibrations”, Manuscripta Math. 12 (1974) 113 MR0365556
15	C Rezk, A model for the homotopy theory of homotopy theory, Trans. Amer. Math. Soc. 353 (2001) 973 MR1804411
16	C P Rourke, B J Sanderson, $\Delta$–sets, I: Homotopy theory, Quart. J. Math. Oxford Ser. 22 (1971) 321 MR0300281
17	S Schwede, B Shipley, Equivalences of monoidal model categories, Algebr. Geom. Topol. 3 (2003) 287 MR1997322