English

Homology fibrations and "group-completion" revisited

Algebraic Topology 2007-05-23 v1

Abstract

We give a proof of the Jardine-Tillmann generalized group completion theorem. It is much in the spirit of the original homology fibration approach by McDuff and Segal, but follows a modern treatment of homotopy colimits, using as little simplicial technology as possible. We compare simplicial and topological definitions of homology fibrations.

Keywords

Cite

@article{arxiv.math/0307339,
  title  = {Homology fibrations and "group-completion" revisited},
  author = {Wolfgang Pitsch and Jerome Scherer},
  journal= {arXiv preprint arXiv:math/0307339},
  year   = {2007}
}

Comments

13 pages

R2 v1 2026-07-22T16:56:32.733Z