The accessibility rank of weak equivalences

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Authors

RAPTIS G. ROSICKÝ Jiří

Year of publication 2015
Type Article in Periodical
Magazine / Source Theory and Applications of Categories
MU Faculty or unit

Faculty of Science

Citation
Web http://www.tac.mta.ca/tac/volumes/30/19/30-19.pdf
Field General mathematics
Keywords model category; weak equivalence; accessible category
Description 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.
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