Volume 19, issue 7 (2019)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
The universality of the Rezk nerve

Aaron Mazel-Gee

Algebraic & Geometric Topology 19 (2019) 3217–3260
Bibliography
1 C Barwick, D M Kan, Relative categories: another model for the homotopy theory of homotopy theories, Indag. Math. 23 (2012) 42 MR2877401
2 P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser (1999) MR1711612
3 P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
4 A Joyal, The theory of quasi-categories and its applications, II, course notes (2008)
5 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
6 Z L Low, A Mazel-Gee, From fractions to complete Segal spaces, Homology Homotopy Appl. 17 (2015) 321 MR3350085
7 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
8 J Lurie, (,2)–categories and the Goodwillie calculus, I, preprint (2009)
9 J Lurie, Higher algebra, book project (2014)
10 J P May, Simplicial objects in algebraic topology, 11, van Nostrand (1967) MR0222892
11 A Mazel-Gee, Model –categories, I : Some pleasant properties of the –category of simplicial spaces, preprint (2014) arXiv:1412.8411
12 A Mazel-Gee, Model –categories, II : Quillen adjunctions, preprint (2015) arXiv:1510.04392
13 A Mazel-Gee, Model –categories, III : The fundamental theorem, preprint (2015) arXiv:1510.04777
14 A Mazel-Gee, Quillen adjunctions induce adjunctions of quasicategories, New York J. Math. 22 (2016) 57 MR3484677
15 A Mazel-Gee, Hammocks and fractions in relative –categories, J. Homotopy Relat. Struct. 13 (2018) 321 MR3802798
16 A Mazel-Gee, On the Grothendieck construction for –categories, J. Pure Appl. Algebra 223 (2019) 4602 MR3955033
17 C Rezk, A model for the homotopy theory of homotopy theory, Trans. Amer. Math. Soc. 353 (2001) 973 MR1804411