论文标题
通过光谱Mackey函子的全球同义理论
Global homotopy theory via spectral Mackey functors
论文作者
论文摘要
我们表明,就对称光谱而言,Hausmann的全球稳定同型理论模型等同于Spectral Mackey Founcors的$ \ infty $ - 在某个全球有效的Burnside类别上的Barwick的意义上。此外,我们还提供了Schwede的超出共同单体作为空间值的全球Mackey函数的类似描述。
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.