Zero-dimensional space
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In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space. A graphical illustration of a zero-dimensional space is a point.
In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space. A graphical illustration of a zero-dimensional space is a point. Hausdorff zero-dimensional spaces are precisely the subspaces of topological powers 2^I where 2=\{0,1\} is given the discrete topology. Such a space is sometimes called a Cantor cube. If is countably infinite, 2^I is the Cantor space.
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