THE ACCESSIBILITY RANK OF WEAK EQUIVALENCES

Raptis, G. and Rosicky, J. (2015) THE ACCESSIBILITY RANK OF WEAK EQUIVALENCES. THEORY AND APPLICATIONS OF CATEGORIES, 30. pp. 687-703. ISSN 1201-561X,

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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.

Item Type: Article
Uncontrolled Keywords: MODEL CATEGORIES; model category; weak equivalence; accessible category
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Ulrich Bunke
Depositing User: Dr. Gernot Deinzer
Date Deposited: 31 Jul 2019 08:33
Last Modified: 31 Jul 2019 08:33
URI: https://pred.uni-regensburg.de/id/eprint/6242

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