Localizing infinity-categories with hypercovers
Algebraic Topology
2016-12-13 v1
Abstract
Given an -category with a set of weak equivalences which is stable under pullback, we show that the mapping spaces of the corresponding localization can be described as group completions of -categories of spans. Furthermore, we show how these -categories of spans are the mapping objects of an -category, which yields a Segal space model for the localization after a Kan fibrant replacement.
Cite
@article{arxiv.1612.03800,
title = {Localizing infinity-categories with hypercovers},
author = {Joost Nuiten},
journal= {arXiv preprint arXiv:1612.03800},
year = {2016}
}