arXiv Analytics

Sign in

arXiv:1403.3042 [math.AT]AbstractReferencesReviewsResources

The accessibility rank of weak equivalences

G. Raptis, J. Rosický

Published 2014-03-12, updated 2015-05-12Version 2

We study the accessibility properties of trivial cofibrations and weak equivalences in a combinatorial model category and prove an estimate for the accessibility rank of weak equivalences. In particular, we show that the class of weak equivalences between simplicial sets is finitely accessible.

Comments: The main result is improved and its proof is simplified. To appear in Theory and Applications of Categories. 15 pages
Categories: math.AT, math.CT
Subjects: 55U35, 18C35, 55U10
Related articles: Most relevant | Search more
arXiv:math/0007068 [math.AT] (Published 2000-07-11)
Combinatorial model categories have presentations
arXiv:1711.01995 [math.AT] (Published 2017-11-06)
Double Homotopy (Co)Limits for Relative Categories
arXiv:0707.3704 [math.AT] (Published 2007-07-25, updated 2008-09-18)
A Cartan-Eilenberg approach to Homotopical Algebra

Links

Toolbox