Global homotopy theory via spectral Mackey functors Article Swipe

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Tobias Lenz ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2202.07272

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.

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Mathematics

Algebraic Number

Homotopy

Mathematical Analysis

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Functor Mathematics Pure mathematics Equivalence (formal languages) K-theory (physics) Algebraic number Homotopy Algebra over a field Mathematical analysis Cohomology

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2202.07272
PDF: https://arxiv.org/pdf/2202.07272
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4226027313

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DOI: https://doi.org/10.48550/arxiv.2202.07272

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Title: Global homotopy theory via spectral Mackey functors

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Type: preprint

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Language: en

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Publication year: 2022

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Publication date: 2022-02-15

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Authors: Tobias Lenz

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Landing page: https://arxiv.org/abs/2202.07272

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Concepts: Functor, Mathematics, Pure mathematics, Equivalence (formal languages), K-theory (physics), Algebraic number, Homotopy, Algebra over a field, Mathematical analysis, Cohomology

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