nLab
braided monoidal functor

Contents

Context

Monoidal categories

monoidal categories

With symmetry

With duals for objects

With duals for morphisms

With traces

Closed structure

Special sorts of products

Semisimplicity

Morphisms

Internal monoids

Examples

Theorems

In higher category theory

Contents

Idea

A braided monoidal functor is a functor F:CDF : C \to D between braided monoidal categories that is a monoidal functor which respects the braiding on both sides.

Properties

Between symmetric monoidal categories a braided monoidal functor is the same as a symmetric monoidal functor.

References

An exposition is in

Last revised on June 9, 2016 at 16:13:05. See the history of this page for a list of all contributions to it.