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hausdorffspace
hausdorff space
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There are 14 letters in HAUSDORFFSPACE ( A1C3D2E1F4H4O1P3R1S1U1 )
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Definitions of hausdorff space in various dictionaries:
HAUSDORFF SPACE - In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space where for any two distinct poi...
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Hausdorff space might refer to |
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In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space where for any two distinct points there exists a neighbourhood of each which is disjoint from the neighbourhood of the other. Of the many separation axioms that can be imposed on a topological space, the "Hausdorff condition" (T2) is the most frequently used and discussed. It implies the uniqueness of limits of sequences, nets, and filters.Hausdorff spaces are named after Felix Hausdorff, one of the founders of topology. Hausdorff's original definition of a topological space (in 1914) included the Hausdorff condition as an axiom. |