28 citations · 127 across the 15 of their papers we have counts for
4 papers · 1 filter
Categorifying rationalization
Clark Barwick, Saul Glasman, Marc Hoyois +2
We solve a problem proposed by Khovanov by constructing, for any set of primes , a triangulated category (in fact a stable -category) whose Grothendieck group is $S^{-1}…
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…
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…
Fibrations in -category theory
Clark Barwick, Jay Shah
In this short expository note, we discuss, with plenty of examples, the bestiary of fibrations in quasicategory theory. We underscore the simplicity and clarity of the construction…