nLab invertible object

Contents

Definition

In a monoidal category, a dualizable object $A$ for which the structure unit (and counit) maps between $A \otimes A^\ast$ (and $A^\ast \otimes A$ ) and the unit object are isomorphisms is called an invertible object.

A monoidal category in which all objects are invertible is called a 2-group.

In terms of linear type theory one might speak of invertible types.

Last revised on May 22, 2017 at 18:37:30. See the history of this page for a list of all contributions to it.