English

Dwyer-Kan Equivalences Induce Equivalences on Topologically Enriched Presheaves

Algebraic Topology 2017-04-26 v1

Abstract

This brief note elaborates on a result by Gepner and Henriques. They have shown that a Dwyer-Kan equivalence between two small, topological categories gives rise to a Quillen equivalence of the associated categories of topologically enriched presheaves. We present a more detailed account of their proof.

Keywords

Cite

@article{arxiv.1704.07472,
  title  = {Dwyer-Kan Equivalences Induce Equivalences on Topologically Enriched Presheaves},
  author = {Alexander Körschgen},
  journal= {arXiv preprint arXiv:1704.07472},
  year   = {2017}
}

Comments

9 pages. This is essentially Subsections A.6 and A.7 of arXiv:1612.04267v2