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Applied Categorical Structures

, Volume 25, Issue 2, pp 187–196 | Cite as

Accessible Model Categories

  • J. Rosický
Article
  • 86 Downloads

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.

Keywords

Weak factorization system Locally presentable category Cofibrant generation Accessible weak factorization system Accessible model category 

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  1. 1.Department of Mathematics and Statistics, Faculty of SciencesMasaryk UniversityBrnoCzech Republic

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