Timothy Campion

collaborators

3 papers

math.CT2023

The Gray tensor product of $(\infty, n)$ -categories

Timothy Campion

In this note, we leverage the author's pasting theorem for $(\infty, n)$ -categories to construct new models of $(\infty, n)$ -categories for all $n \leq \infty$ , as presheaves on cert…

math.CT2023

An $(\infty, n)$ -categorical pasting theorem

Timothy Campion

We identify a reasonably large class of pushouts of strict $n$ -categories which are preserved by the "inclusion" functor from strict $n$ -categories to weak $(\infty, n)$ -categories.…

math.CT2023

A model-independent Gray tensor product for $(\infty, 2)$ -categories

Timothy Campion, Yuki Maehara

We construct a (lax) Gray tensor product of $(\infty, 2)$ -categories and characterize it via a model-independent universal property. Namely, it is the unique monoidal biclosed struc…

The Gray tensor product of (∞,n)-categories

An (∞,n)-categorical pasting theorem

A model-independent Gray tensor product for (∞,2)-categories

The Gray tensor product of $(\infty, n)$ -categories

An $(\infty, n)$ -categorical pasting theorem

A model-independent Gray tensor product for $(\infty, 2)$ -categories