# nLab ribbon category

## 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 June 2, 2010 21:35:21 by Mike Shulman (128.135.72.152)