From: rosicky@math.muni.cz (Jiri Rosicky)
To: categories@mta.ca
Subject: preprint: Left-determined model categories and universal homotopy theories
Date: Tue, 15 May 2001 13:59:43 +0200 (CEST) [thread overview]
Message-ID: <20010515115943.B22B982F7@queen.math.muni.cz> (raw)
The following paper is available at
http://www.math.yorku.ca/Who/Faculty/Tholen/research.html
J.Rosicky and W.Tholen, Left-determined model categories and universal
homotopy theories
Abstract:
We say that a model category is left-determined if the weak
equivalences are generated (in a suitable sense) by the
cofibrations. While the model category of simplicial sets is not
left-determined, we show that its non-oriented variant, the
category of symmetric simplicial sets (in the sense of Lawvere
and Grandis) carries a natural left-determined model category
structure. This is used to give another and, as we believe,
simpler proof of a recent result of D. Dugger about universal
homotopy theories.
reply other threads:[~2001-05-15 11:59 UTC|newest]
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