Cellular categories

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Authors

MAKKAI Mihály ROSICKÝ Jiří

Year of publication 2014
Type Article in Periodical
Magazine / Source Journal of Pure and Applied Algebra
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1016/j.jpaa.2014.01.005
Field General mathematics
Keywords locally presentable category;weak factorization system;model category
Description We study locally presentable categories equipped with a cofibrantly generated weak factorization system. Our main result is that these categories are closed under 2-limits, in particular under pseudopullbacks. We give applications to deconstructible classes in Grothendieck categories. We discuss pseudopullbacks of combinatorial model categories.
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