nLab
cartesian functor

Context

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)