Global homotopy theory via spectral Mackey functors
Algebraic Topology
2025-08-18 v2 K-Theory and Homology
Abstract
We show that Hausmann's model of global stable homotopy theory in terms of symmetric spectra is equivalent to the -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.
Keywords
Cite
@article{arxiv.2202.07272,
title = {Global homotopy theory via spectral Mackey functors},
author = {Tobias Lenz},
journal= {arXiv preprint arXiv:2202.07272},
year = {2025}
}
Comments
Removed comparison of global algebraic K-theory constructions (a generalization of which will appear in a separate paper) and updated title accordingly. Various improvements to exposition. 28 pages