# nLab braided monoidal functor

Contents

### Context

#### Monoidal categories

monoidal categories

# Contents

## Idea

A braided monoidal functor is a functor $F : C \to D$ 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

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