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arXiv · 1304.7572

Cellular categories

M. Makkai·J. Rosický
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Abstract

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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M. Makkai, J. Rosický. 2013-04-29. Cellular categories. https://arxiv.org/abs/1304.7572

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