An isovariant Elmendorf's theorem

2019/07/28 by Yeakel, Sarah · 2 citations
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.12135

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.

Cited by

• Semifree Isovariant Poincaré Spaces and the Gap Condition
• An isovariant Blakers--Massey theorem

Related

• An isovariant Blakers--Massey theorem
• G-category versus orbifold category
• Isovariant homotopy theory and fixed point invariants
• Elmendorf constructions for G-categories and G-posets
• Equivariant A-theory