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Accessible Model Categories

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Abstract

We prove that a weak factorization system on a locally presentable category is accessible if and only if it is small generated in the sense of R. Garner. Moreover, we discuss an analogy of Smith’s theorem for accessible model categories.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Faculty of Sciences, Masaryk University, Kotlářská 2, 611 37, Brno, Czech Republic

    J. Rosický

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  1. J. Rosický
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Correspondence to J. Rosický.

Additional information

Supported by the Grant agency of the Czech republic under the grants 201/11/0528 and P201/12/G028.

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Rosický, J. Accessible Model Categories. Appl Categor Struct 25, 187–196 (2017). https://doi.org/10.1007/s10485-015-9419-6

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  • DOI: https://doi.org/10.1007/s10485-015-9419-6

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