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math.AT2016★ 13 cited
Parametrized higher category theory and higher algebra: Exposé I -- Elements of parametrized higher category theory
Clark Barwick, Emanuele Dotto, Saul Glasman +2
We introduce the basic elements of the theory of parametrized -categories and functors between them. These notions are defined as suitable fibrations of -categories…
math.AT2016★ 15 cited
Parametrized higher category theory and higher algebra: A general introduction
Clark Barwick, Emanuele Dotto, Saul Glasman +2
We introduce the study of parametrized higher category theory and parametrized higher algebra, and we describe the main theorems of the series of Exposés that make up the monograph…
math.AT2016★ 14 cited
Parametrized higher category theory and higher algebra: Exposé IV -- Stability with respect to an orbital -category
Denis Nardin
In this paper we develop a theory of stability for -categories (presheaf of categories on the orbit category of ), where is a finite group. We give a description of Macke…