Quillen adjunctions induce adjunctions of quasicategories
Aaron Mazel-Gee
TL;DR
This paper demonstrates that Quillen adjunctions between certain model categories naturally induce adjunctions between their associated quasicategories, broadening the understanding of their relationship in higher category theory.
Contribution
It establishes that Quillen adjunctions induce canonical adjunctions of quasicategories without requiring functorial factorizations, only assuming finite bicompleteness.
Findings
Quillen adjunctions induce adjunctions of quasicategories
No need for functorial factorizations
Applicable to finitely bicomplete model categories
Abstract
We prove that a Quillen adjunction of model categories (of which we do not require functorial factorizations and of which we only require finite bicompleteness) induces a canonical adjunction of underlying quasicategories.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra