Global homotopy theory via spectral Mackey functors
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866912538242842624 |
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| author | Lenz, Tobias |
| author_facet | Lenz, Tobias |
| contents | We show that Hausmann's model of global stable homotopy theory in terms of symmetric spectra is equivalent to the $\infty$-category of spectral Mackey functors in the sense of Barwick on a certain global effective Burnside category. We moreover provide an analogous description of Schwede's ultra-commutative monoids as space-valued global Mackey functors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_07272 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Global homotopy theory via spectral Mackey functors Lenz, Tobias Algebraic Topology K-Theory and Homology 55P91 (Primary) 18B10, 18N60 (Secondary) We show that Hausmann's model of global stable homotopy theory in terms of symmetric spectra is equivalent to the $\infty$-category of spectral Mackey functors in the sense of Barwick on a certain global effective Burnside category. We moreover provide an analogous description of Schwede's ultra-commutative monoids as space-valued global Mackey functors. |
| title | Global homotopy theory via spectral Mackey functors |
| topic | Algebraic Topology K-Theory and Homology 55P91 (Primary) 18B10, 18N60 (Secondary) |
| url | https://arxiv.org/abs/2202.07272 |