Topological Cube

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] 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 also

Hilbert Cube

This entry contributed by Margherita Barile

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Cite this as:

Barile, Margherita. "Topological Cube." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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