# nLab cartesian functor

## With duals for objects

• (list of them)

• (what they have)

• , a.k.a.

• , a.k.a.

• (, , , )

• /

• /

# 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”.

Last revised on January 22, 2013 at 19:33:52. See the history of this page for a list of all contributions to it.