Global homotopy theory via spectral Mackey functors

Abstract

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.

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