cubical object

A **cubical object** in a category $C$ is a functor

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

from the opposite category of the cube category $\Box$ into $C$.

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

Functors

$F : \Box \to C$

from the cube category itself are **co-cubical object**s in $C$.

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