Bibliographic Details
| Title: |
Parametrized stability and the universal property of global spectra |
| Authors: |
Cnossen, Bastiaan, Lenz, Tobias, Linskens, Sil |
| Publication Year: |
2023 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Algebraic Topology, 55U35, 55P91 (Primary) |
| More Details: |
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 |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2301.08240 |
| Accession Number: |
edsarx.2301.08240 |
| Database: |
arXiv |
