An isovariant Elmendorf's theorem
Sarah YeakelDepartment of Mathematics, University of California Riverside, Riverside CA 92521, USA
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. 613–628DOI 10.4171/DM/879