# nLab ribbon category

### Context

#### Monoidal categories

monoidal categories

## Definition

A ribbon category (also called a tortile category) is a braided pivotal category, or equivalently a balanced autonomous category, which satisfies $\theta^* = \theta$, where $\theta$ is the twist. This is a kind of category with duals.

Revised on December 3, 2014 12:58:22 by Anonymous Coward (193.49.225.10)