Abstract
Extending work of Nardin, we develop a framework of parameterized semiadditivity and stability with respect to so-called atomic orbital subcategories of an indexing $\infty$-category $T$. Specializing this framework, we introduce global $\infty$-categories together with genuine forms of 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 genuinely stable global $\infty$-category with a natural global $\infty$-category of global spectra for finite groups, in the sense of Schwede and Hausmann.
Original language | English |
---|---|
Publisher | arXiv |
Pages | 1-103 |
Number of pages | 103 |
DOIs | |
Publication status | Published - 19 Jan 2023 |
Bibliographical note
103 pagesKeywords
- math.AT
- 55U35, 55P91 (Primary)