Parametrized stability and the universal property of global spectra

Autor:	Cnossen, Bastiaan, Lenz, Tobias, Linskens, Sil
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Topology 55U35 55P91 (Primary)
Druh dokumentu:	Working Paper
Popis:	We develop a framework of parametrized semiadditivity and stability with respect to so-called atomic orbital subcategories of an indexing $\infty$-category $T$, extending work of Nardin. Specializing this framework, we introduce global $\infty$-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 $\infty$-category with a natural global $\infty$-category of global spectra for finite groups, in the sense of Schwede and Hausmann. Comment: v2: various minor corrections, some additional material. 110 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.08240 Zobrazit plný text záznamu View this record from Arxiv