# nLab cartesian functor

### Context

#### Monoidal categories

monoidal categories

category theory

# Contents

## Definition

The phrase cartesian functor has been used in category theory with several different (but related) meanings.

Because of this ambiguity, it is perhaps always better to use a more precise term such as “(strong) morphism of fibrations”, “cartesian monoidal functor” or “finite product preserving functor”, and “finitely continuous functor” or “lex functor”.

Revised on January 22, 2013 19:33:52 by Mike Shulman (192.16.204.218)