category with duals (list of them)
dualizable object (what they have)
ribbon category, a.k.a. tortile category
monoidal dagger-category?
abstract duality: opposite category,
concrete duality: dual object, dualizable object, fully dualizable object, dualizing object
between higher geometry/higher algebra
Langlands duality, geometric Langlands duality, quantum geometric Langlands duality
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.