36 citations · 164 across the 16 of their papers we have counts for
7 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}…
Goodwillie calculus and Mackey functors
Saul Glasman
We show that the category of -excisive functors from the -category of spectra to a target stable -category is equivalent to the category of $\mathbf…
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…
On the fibrewise effective Burnside -category
Clark Barwick, Saul Glasman
Effective Burnside -categories are the centerpiece of the -categorical approach to equivariant stable homotopy theory. In this étude, we recall the construction of…
A note on stable recollements
Clark Barwick, Saul Glasman
In this short étude, we observe that the full structure of a recollement on a stable infinity-category can be reconstructed from minimal data: that of a reflective and coreflective…
Cyclonic spectra, cyclotomic spectra, and a conjecture of Kaledin
Clark Barwick, Saul Glasman
With an explicit, algebraic indexing -category, we develop an efficient homotopy theory of cyclonic objects: circle-equivariant objects relative to the family of finite subg…