A Thomason-like Quillen equivalence between quasi-categories and relative categories
C. Barwick, D. M. Kan
TL;DR
This paper establishes a Quillen equivalence between quasi-categories and relative categories, revealing a surprising similarity to Thomason's equivalences between simplicial sets and categories.
Contribution
It introduces a new Quillen equivalence connecting quasi-categories and relative categories, expanding the understanding of their homotopy theories.
Findings
Demonstrates a Quillen equivalence similar to Thomason's
Bridges quasi-categories and relative categories
Enhances the framework for higher category theory
Abstract
We describe a Quillen equivalence between quasi-categories and relative categories which is surprisingly similar to Thomason's Quillen equivalences between simplicial sets and categories.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Algebra and Logic