Accessible model categories
J. Rosicky

TL;DR
This paper establishes a characterization of accessible weak factorization systems in locally presentable categories and explores an analogy of Smith's theorem within accessible model categories.
Contribution
It provides a new equivalence criterion for accessible weak factorization systems and extends Smith's theorem analogy to accessible model categories.
Findings
Weak factorization systems are accessible iff small generated.
An analogy of Smith's theorem is developed for accessible model categories.
Provides a new perspective on the structure of accessible model categories.
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Pituitary Gland Disorders and Treatments
