The term cube is used in topology to denote the Cartesian product of any (finite or infinite) number of copies of the closed
interval ![[0,1]](/images/equations/TopologicalCube/Inline1.svg)
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.
Topological Cube
See also
Hilbert CubeThis entry contributed by Margherita Barile
Explore with Wolfram|Alpha
Cite this as:
Barile, Margherita. "Topological Cube." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/TopologicalCube.html