An isovariant Elmendorf's theorem

Sarah Yeakel

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arXiv · 1907.12135

An isovariant Elmendorf's theorem

Sarah Yeakel

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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 $G$, the category of $G$-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.

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Sarah Yeakel. 2019-07-28. An isovariant Elmendorf's theorem. https://arxiv.org/abs/1907.12135

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