Dwyer-Kan Equivalences Induce Equivalences on Topologically Enriched Presheaves

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.

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