From fractions to complete Segal spaces
Category Theory
2015-05-19 v3 Algebraic Topology
Abstract
We show that the Rezk classification diagram of a relative category admitting a homotopical version of the two-sided calculus of fractions is a Segal space up to Reedy-fibrant replacement. This generalizes the result of Rezk and Bergner on the classification diagram of a closed model category, as well as the result of Barwick and Kan on the classification diagram of a partial model category.
Keywords
Cite
@article{arxiv.1409.8192,
title = {From fractions to complete Segal spaces},
author = {Zhen Lin Low and Aaron Mazel-Gee},
journal= {arXiv preprint arXiv:1409.8192},
year = {2015}
}
Comments
21 pages, LaTeX. Changes in v3: added some expository material, following suggestions by anonymous referee. (N.B. numbering has changed.)