An isovariant Blakers--Massey theorem
Algebraic Topology
2025-06-27 v1
Abstract
An isovariant map is an equivariant map between -spaces which strictly preserves isotropy groups. In this paper, we lay the groundwork for the study of isovariant stable homotopy theory. We prove an isovariant Blakers--Massey theorem and its -cubical generalization, define a suitable notion of suspension (by a trivial representation sphere) in the isovariant category, and prove an isovariant Freudenthal suspension theorem.
Keywords
Cite
@article{arxiv.2506.21259,
title = {An isovariant Blakers--Massey theorem},
author = {Inbar Klang and Sarah Yeakel},
journal= {arXiv preprint arXiv:2506.21259},
year = {2025}
}