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
Definitions
Transfors between 2-categories
Morphisms in 2-categories
Structures in 2-categories
Limits in 2-categories
Structures on 2-categories
A monoidal (2,1)-category is a (2,1)-category equipped equivalently with the following structure
when regarded as a 2-category the structure of a monoidal 2-category;
when regarded as an (∞,1)-category the structure of a monoidal (∞,1)-category.
Similarly:
A symmetric monoidal (2,1)-category is a (2,1)-category equipped equivalently with the following structure
when regarded as a 2-category the structure of a symmetric monoidal 2-category;
when regarded as an (∞,1)-category the structure of a symmetric monoidal (∞,1)-category.
Created on May 4, 2013 at 00:22:39. See the history of this page for a list of all contributions to it.