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

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An isovariant Blakers–Massey theorem

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月23日

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  • Inbar Klang,
  • Sarah Yeakel

摘要

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.