3 citations · 7 across the 9 of their papers we have counts for
6 papers · 1 filter
The Gray tensor product of -categories
Timothy Campion
In this note, we leverage the author's pasting theorem for -categories to construct new models of -categories for all , as presheaves on cert…
An -categorical pasting theorem
Timothy Campion
We identify a reasonably large class of pushouts of strict -categories which are preserved by the "inclusion" functor from strict -categories to weak -categories.…
A model-independent Gray tensor product for -categories
Timothy Campion, Yuki Maehara
We construct a (lax) Gray tensor product of -categories and characterize it via a model-independent universal property. Namely, it is the unique monoidal biclosed struc…
Cubical sites as Eilenberg-Zilber categories
Timothy Campion
We show that various cube categories (without diagonals, but with symmetries / connections / reversals) are Eilenberg-Zilber categories. This generalizes a result of Isaacson for o…
Free duals and a new universal property for stable equivariant homotopy theory
Tim Campion
We study the left adjoint to the forgetful functor from the -category of symmetric monoidal -categories with duals and finite colimits to the -…
Cubes are dense in -categories
Tim Campion
We show that the strict 1-category of cubes -- defined to be the full subcategory of strict -categories whose objects are the Gray tensor powers of the arrow category…