TL;DR
This paper investigates locally presentable categories with cofibrantly generated weak factorization systems, demonstrating their closure under 2-limits and exploring applications to deconstructible classes and pseudopullbacks in model categories.
Contribution
It establishes that such categories are closed under 2-limits, including pseudopullbacks, and applies these results to Grothendieck categories and combinatorial model categories.
Findings
Categories are closed under 2-limits including pseudopullbacks
Applications to deconstructible classes in Grothendieck categories
Analysis of pseudopullbacks in combinatorial model categories
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Rings, Modules, and Algebras