Quillen Theorems Bn for homotopy pullbacks of (infinity, k)categories
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 krelative 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.
 Publication:

arXiv eprints
 Pub Date:
 August 2012
 arXiv:
 arXiv:1208.1777
 Bibcode:
 2012arXiv1208.1777B
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematics  Category Theory
 EPrint:
 28 pages. Comments always welcome