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* About accessibility of the weak equivalences of a combinatorial model category
@ 2006-01-19 17:34 Gaucher Philippe
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From: Gaucher Philippe @ 2006-01-19 17:34 UTC (permalink / raw)
  To: categories

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.




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