Cnossen, Bastiaan and Lenz, Tobias and Linskens, Sil (2025) Parametrized stability and the universal property of global spectra. JOURNAL OF TOPOLOGY, 18 (4): e70044. ISSN 1753-8416, 1753-8424
Full text not available from this repository. (Request a copy)Abstract
We develop a framework of parametrized semiadditivity and stability with respect to so-called atomic orbital subcategories of an indexing -category , extending work of Nardin. Specializing this framework, we introduce global -categories and the notions of equivariant semiadditivity and stability, yielding a higher categorical version of the notion of a Mackey 2-functor studied by Balmer-Dell'Ambrogio. As our main result, we identify the free presentable equivariantly stable global -category with a natural global -category of global spectra for finite groups, in the sense of Schwede and Hausmann.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EQUIVARIANT STABLE-HOMOTOPY; SPACES |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Marc Hoyois |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Jun 2026 06:25 |
| Last Modified: | 23 Jun 2026 06:25 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66436 |
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