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
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.