With braiding
With duals for objects
category with duals (list of them)
dualizable object (what they have)
ribbon category, a.k.a. tortile category
With duals for morphisms
monoidal dagger-category?
With traces
Closed structure
Special sorts of products
Semisimplicity
Morphisms
Internal monoids
Examples
Theorems
In higher category theory
The reverse monoidal category of a monoidal category, , has the same underlying category and unit as but reversed monoidal product, , and similarly for morphisms. The associator in the reverse category is .
is equivalent to where is the delooping of , i.e. viewed as a one-object bicategory where is the opposite on 1-cells.
Last revised on September 28, 2022 at 14:47:59. See the history of this page for a list of all contributions to it.