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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

18 votes
2 answers
4k views

What is a tensor category?

A monoidal category is a well-defined categorical object abstracting products to the categorical setting. The term tensor category is also used, and seems to mean a monoidal category with more structu …
Nadia SUSY's user avatar
11 votes
4 answers
2k views

The tensor product of two monoidal categories

Given two monoidal categories $\mathcal{M}$ and $\mathcal{N}$, can one form their tensor product in a canonical way? The motivation I am thinking of is two categories that are representation categor …
Nadia SUSY's user avatar