Algebraic & Geometric Topology Volume 11, issue 1 (2011)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Mapping spaces in quasi-categories

Daniel Dugger and David I Spivak

Algebraic & Geometric Topology 11 (2011) 263–325

DOI: 10.2140/agt.2011.11.263

Bibliography

1	T Beke, Sheafifiable homotopy model categories, Math. Proc. Cambridge Philos. Soc. 129 (2000) 447 MR1780498
2	J E Bergner, A model category structure on the category of simplicial categories, Trans. Amer. Math. Soc. 359 (2007) 2043 MR2276611
3	J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, Lecture Notes in Math. 347, Springer (1973) MR0420609
4	A K Bousfield, D M Kan, Homotopy limits, completions and localizations, Lecture Notes in Math. 304, Springer (1972) MR0365573
5	J M Cordier, T Porter, Homotopy coherent category theory, Trans. Amer. Math. Soc. 349 (1997) 1 MR1376543
6	D Dugger, Classification spaces of maps in model categories arXiv:math/0604537
7	D Dugger, A primer on homotopy colimits, Preprint (2008)
8	D Dugger, D I Spivak, Rigidification of quasi-categories, Alg. Geom. Topol. 11 (2011) 225
9	W G Dwyer, D M Kan, Calculating simplicial localizations, J. Pure Appl. Algebra 18 (1980) 17 MR578563
10	W G Dwyer, D M Kan, Function complexes in homotopical algebra, Topology 19 (1980) 427 MR584566
11	W G Dwyer, D M Kan, Simplicial localizations of categories, J. Pure Appl. Algebra 17 (1980) 267 MR579087
12	P S Hirschhorn, Model categories and their localizations, Math. Surveys and Monogr. 99, Amer. Math. Soc. (2003) MR1944041
13	A Joyal, Quasi-categories and Kan complexes, J. Pure Appl. Algebra 175 (2002) 207 MR1935979
14	A Joyal, Simplicial categories vs. quasi-categories, Preprint (2008)
15	A Joyal, The theory of quasi-categories, Preprint (2008)
16	J Lurie, Higher topos theory, Annals of Math. Studies 170, Princeton Univ. Press (2009) MR2522659
17	J P Nichols-Barrer, On quasi-categories as a foundation for higher algebraic stacks, PhD thesis, Massachusetts Institute of Technology (2007)