pith. sign in

arxiv: 1208.1777 · v2 · pith:CYXMLAJAnew · submitted 2012-08-08 · 🧮 math.AT · math.CT

Quillen Theorems Bn for homotopy pullbacks of (infinity, k)-categories

classification 🧮 math.AT math.CT
keywords categorieshomotopyinfinityresultspullbacksquillensimilardwyer
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.