coCartesian fibrations and homotopy colimits
Category Theory
2022-05-30 v1 Algebraic Topology
Abstract
The main objective of this paper is to show that the homotopy colimit of a diagram of quasi-categories and indexed by a small category is a localization of Lurie's higher Grothendieck construction of the diagram. We thereby generalize Thomason's classical result which states that the homotopy colimit of a diagram of categories has the homotopy type of (the classifying space of) the Grothendieck construction of the diagram of categories.
Cite
@article{arxiv.2205.13686,
title = {coCartesian fibrations and homotopy colimits},
author = {Amit Sharma},
journal= {arXiv preprint arXiv:2205.13686},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2004.09654