A Quillen Theorem B for strict $\infty$-categories
Algebraic Topology
2020-09-07 v2 Category Theory
Abstract
We prove a generalization of Quillen's Theorem B to strict -categories. More generally, we show that under similar hypothesis as for Theorem B, the comma construction for strict -categories, that we introduced with Maltsiniotis in a previous paper, is the homotopy pullback with respect to Thomason equivalences. We give several applications of these results, including the construction of new models for certain Eilenberg-Mac Lane spaces.
Cite
@article{arxiv.1808.02650,
title = {A Quillen Theorem B for strict $\infty$-categories},
author = {Dimitri Ara},
journal= {arXiv preprint arXiv:1808.02650},
year = {2020}
}
Comments
33 pages, v2: title changed, minor modifications, references updated, journal version