nLab
cubical object

Contents

Idea

A cubical object in a category CC is a functor

F: opC F : \Box^{op} \to C

from the opposite category of the cube category \Box into CC.

If C=SetC = Set then this is called a cubical set.

Functors

F:C F : \Box \to C

from the cube category itself are co-cubical objects in CC.

Revised on April 16, 2015 05:25:33 by Urs Schreiber (89.204.137.127)