nLab
cubical object

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.

See also simplicial object.

Created on October 7, 2009 23:23:53 by Urs Schreiber (131.211.234.44)