From: Gaucher Philippe <Philippe.Gaucher@pps.jussieu.fr>
To: categories@mta.ca
Subject: About accessibility of the weak equivalences of a combinatorial model category
Date: Thu, 19 Jan 2006 18:34:02 +0100 [thread overview]
Message-ID: <200601191834.02937.gaucher@pps.jussieu.fr> (raw)
Dear All,
How can we prove that the class of weak equivalences of a combinatorial model
category is accessible ? I know how to prove that the class of weak
equivalences of a combinatorial model category is accessibly embedded in the
whole class of morphisms. And then it is accessible using Vopenka's principle
by [Adamek-Rosicky's book Theorem 6.17] . Can we remove Vopenka's principle
from the argument ? Or is this fact in the definition of a "combinatorial
model category" (for me, it's a cofibrantly generated model category such
that the underlying category is locally presentable) ?
Thanks in advance. pg.
reply other threads:[~2006-01-19 17:34 UTC|newest]
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