Quillen Theorems Bn for homotopy pullbacks of (infinity, k)-categories
Algebraic Topology
2013-01-22 v2 Category Theory
Abstract
We extend the Quillen Theorem Bn for homotopy fibers of Dwyer, et al. to similar results for homotopy pullbacks and note that these results imply similar results for zigzags in the categories of relative categories and k-relative categories, not only with respect to their Reedy structures but also their Rezk structure, which turns them into models for the theories of (infinity, 1)- and (infinity, k)-categories, respectively.
Keywords
Cite
@article{arxiv.1208.1777,
title = {Quillen Theorems Bn for homotopy pullbacks of (infinity, k)-categories},
author = {C. Barwick and D. M. Kan},
journal= {arXiv preprint arXiv:1208.1777},
year = {2013}
}
Comments
28 pages. Comments always welcome