An isovariant Blakers--Massey theorem
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908423656833024 |
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| author | Klang, Inbar Yeakel, Sarah |
| author_facet | Klang, Inbar Yeakel, Sarah |
| contents | 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. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21259 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An isovariant Blakers--Massey theorem Klang, Inbar Yeakel, Sarah Algebraic Topology 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. 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. |
| title | An isovariant Blakers--Massey theorem |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2506.21259 |