The accessibility rank of weak equivalences
Algebraic Topology
2015-05-13 v2 Category Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1403.3042,
title = {The accessibility rank of weak equivalences},
author = {G. Raptis and J. Rosický},
journal= {arXiv preprint arXiv:1403.3042},
year = {2015}
}
Comments
The main result is improved and its proof is simplified. To appear in Theory and Applications of Categories. 15 pages