An isovariant Elmendorf's theorem

  • Sarah Yeakel

    Department of Mathematics, University of California Riverside, Riverside CA 92521, USA
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Abstract

An isovariant map between spaces with a group action is an equivariant map which preserves isotropy groups. In this paper, we show that for a finite group , the category of -spaces with isovariant maps has a Quillen model structure. We prove a Piacenza-style model theoretic proof of an isovariant Elmendorf's theorem, showing that this model structure is Quillen equivalent to a model category of diagrams.

Cite this article

Sarah Yeakel, An isovariant Elmendorf's theorem. Doc. Math. 27 (2022), pp. 613–628

DOI 10.4171/DM/879