Classification Diagrams of Marked Simplicial Sets
Algebraic Topology
2024-01-31 v3 Category Theory
Abstract
We prove that the classification diagram functor from the category of marked simplicial sets to the category of bisimplicial sets carries cartesian equivalences to Rezk equivalences. As a corollary, we obtain Mazel-Gee's theorem on localizations of relative -categories.
Cite
@article{arxiv.2311.01101,
title = {Classification Diagrams of Marked Simplicial Sets},
author = {Kensuke Arakawa},
journal= {arXiv preprint arXiv:2311.01101},
year = {2024}
}
Comments
19 pages; fixed typos