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math.CT2023
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…
math.CT2023★ 3 cited
Weakly invertible cells in a weak -category
Soichiro Fujii, Keisuke Hoshino, Yuki Maehara
We study weakly invertible cells in weak -categories in the sense of Batanin-Leinster, adopting the coinductive definition of weak invertibility. We show that weakly invertible…