Establishes gluing formula for recollements in infinity-categories and proves equivalence between P-stratified infinity-topoi and toposic locally cocartesian fibrations over P^op.
Parametrized higher category theory and higher algebra: Expos\'e IV -- Stability with respect to an orbital $\infty$-category
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this paper we develop a theory of stability for $G$-categories (presheaf of categories on the orbit category of $G$), where $G$ is a finite group. We give a description of Mackey functors as $G$-commutative monoids exploit it to characterize $G$-spectra as the $G$-stabilization of $G$-spaces. As an application of this we provide an alternative proof of a theorem by Guillou and May. The theory here is developed in the more general setting of orbital categories.
fields
math.AT 1years
2021 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Recollements and stratification
Establishes gluing formula for recollements in infinity-categories and proves equivalence between P-stratified infinity-topoi and toposic locally cocartesian fibrations over P^op.