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arXiv · 2506.21259

An isovariant Blakers--Massey theorem

Inbar Klang·Sarah Yeakel
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Abstract

An isovariant map is an equivariant map between $G$-spaces which strictly preserves isotropy groups. In this paper, we lay the groundwork for the study of isovariant stable homotopy theory when $G$ is a finite group. We prove an isovariant Blakers--Massey theorem and its $n$-cubical generalization, define a suitable notion of suspension (by a trivial representation sphere) in the isovariant category, and prove an isovariant Freudenthal suspension theorem.

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Inbar Klang, Sarah Yeakel. 2025-06-26. An isovariant Blakers--Massey theorem. https://doi.org/10.1007/s40062-026-00406-y

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