Dwyer-Kan Equivalences Induce Equivalences on Topologically Enriched Presheaves
arXiv:1704.07472
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.
9 pages. This is essentially Subsections A.6 and A.7 of arXiv:1612.04267v2