The term cube is used in topology to denote the Cartesian product of any (finite or infinite) number of copies of the closed interval equipped with the product topology derived from the relative topology induced on each interval by the Euclidean topology of the real line. A particular type is the Hilbert cube.
See alsoHilbert Cube
This entry contributed by Margherita Barile
Explore with Wolfram|Alpha
Cite this as:
Barile, Margherita. "Topological Cube." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TopologicalCube.html