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Feb 27 at 19:26 comment added varkor @მამუკაჯიბლაძე: sorry, I meant to write "symmetric/braided strict monoidal category", i.e. the braiding is not strict.
Feb 27 at 19:20 comment added მამუკა ჯიბლაძე What exactly do you mean by strict? For me it would mean strictly commutative, i. e. the symmetry isomorphisms being just identities.
Feb 27 at 17:50 comment added varkor @მამუკაჯიბლაძე: these are the pseudoalgebras for the free strict symmetric/braided monoidal category 2-monads on $\mathbf{Cat}$.
Feb 27 at 17:10 comment added მამუკა ჯიბლაძე Maybe symmetric or braided monoidal categories?
Feb 27 at 16:14 history asked varkor CC BY-SA 4.0