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On Combinatorial Model Categories
Authors:J Rosický
Institution:(1) Department of Mathematics and Statistics, Faculty of Sciences, Masaryk University, Kotlářská 2, 60000 Brno, Czech Republic
Abstract:Combinatorial model categories were introduced by J. H. Smith as model categories which are locally presentable and cofibrantly generated. He has not published his results yet but proofs of some of them were presented by T. Beke, D. Dugger or J. Lurie. We are contributing to this endeavour by some new results about homotopy equivalences, weak equivalences and cofibrations in combinatorial model categories. Supported by MSM 0021622409 and GAČR 201/06/0664.
Keywords:Locally presentable category  Accessible category  Model category  Homotopy equivalence  Weak equivalence  Cofibration
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