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.
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Supported by MSM 0021622409 and GAČR 201/06/0664.
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Rosický, J. On Combinatorial Model Categories. Appl Categor Struct 17, 303–316 (2009). https://doi.org/10.1007/s10485-008-9171-2
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DOI: https://doi.org/10.1007/s10485-008-9171-2
Keywords
- Locally presentable category
- Accessible category
- Model category
- Homotopy equivalence
- Weak equivalence
- Cofibration