5 papers
The Gray Product of -Categories via Lax Grids
Shai Keidar, Leor Neuhauser
We introduce a new model for -categories as Segal sheaves on lax grids, which are pasting diagrams of lax cubes. This model allows for a direct construction of the Gray…
Cofinality via Weighted Colimits
Shai Keidar, Lior Yanovski
We prove a refinement of Quillen's Theorem A, providing necessary and sufficient conditions for a functor to be cofinal with respect to diagrams valued in a fixed -category…
Semiadditive Alternating Powers and Twisted Power Operation
Shai Keidar, Shaul Ragimov
We study a class of representations of symmetric groups in higher semiadditive categories. For these representations in , the transchromatic character…
Twisted Graded Categories
Shai Keidar, Shaul Ragimov
Given a presentably symmetric monoidal -category and an -monoid , we introduce and classify twisted graded categories, which generaliz…
On The Telescopic Picard Group
Shai Keidar
We prove that for any prime and height , the telescopic Picard group contains a subgroup of the form $\mathbb{Z}_p \times \mathbb{Z}/a…