An isovariant Elmendorf's theorem

  • Sarah Yeakel

    Department of Mathematics, University of California Riverside, Riverside CA 92521, USA
An isovariant Elmendorf's theorem cover
Download PDF

This article is published open access.


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 GG, the category of GG-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