cube

The **$n$-dimensional cube**, or simply **$n$-cube**, is a generalisation of the ordinary cube (or $3$-cube) to arbitrary dimensions. It comes in many guises.

The standard cubical $n$-cube is the cubical set represented (as a presheaf) by the object $[n]$ in the cube category.

The standard topological $n$-cube is the space $[0,1]^n$, where $[0,1]$ is the unit interval. The collection of topological cubes forms a topological cocubical set?.

Revised on April 8, 2015 10:24:57
by Anonymous Coward
(129.16.25.59)