English

A Quillen theorem Bn for homotopy pullbacks

Algebraic Topology 2011-01-26 v1 Category Theory

Abstract

We prove an extension of the Quillen Theorem Bn for homotopy fibres to a similar result for homotopy pullbacks and use this to obtain sufficient conditions on a pullback diagram of categories to guarantee that it be a homotopy pullback.

Keywords

Cite

@article{arxiv.1101.4879,
  title  = {A Quillen theorem Bn for homotopy pullbacks},
  author = {C. Barwick and D. M. Kan},
  journal= {arXiv preprint arXiv:1101.4879},
  year   = {2011}
}
R2 v1 2026-06-21T17:16:55.647Z