An isovariant Elmendorf's theorem
Algebraic Topology
2022-04-06 v2
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
@article{arxiv.1907.12135,
title = {An isovariant Elmendorf's theorem},
author = {Sarah Yeakel},
journal= {arXiv preprint arXiv:1907.12135},
year = {2022}
}
Comments
13 pages, many minor corrections, significant revisions: corrected definition of link orbit category and a lemma proof, switched to compactly generated spaces, added proposition in section 2 on adding a terminal object. journal version