The accessibility rank of weak equivalences

2014/03/12 by Raptis, G., Rosický, J.
#18C35 #55U10 #55U35 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1403.3042

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.

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