What does hausdorff space mean?
Definitions for hausdorff space
haus·dorf·f space
This dictionary definitions page includes all the possible meanings, example usage and translations of the word hausdorff space.
Wiktionary
Hausdorff spacenoun
A topological space in which for any two distinct points x and y, there is a pair of disjoint open sets U and V such that and .
Wikipedia
Hausdorff space
In topology and related branches of mathematics, a Hausdorff space ( HOWS-dorf, HOWZ-dorf), separated space or T2 space is a topological space where, for any two distinct points, there exist neighbourhoods of each which are disjoint from each 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.
Wikidata
Hausdorff space
In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which distinct points have disjoint neighbourhoods. Of the many separation axioms that can be imposed on a topological space, the "Hausdorff condition" 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 included the Hausdorff condition as an axiom.
Numerology
Chaldean Numerology
The numerical value of hausdorff space in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of hausdorff space in Pythagorean Numerology is: 7
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"hausdorff space." Definitions.net. STANDS4 LLC, 2024. Web. 6 May 2024. <https://www.definitions.net/definition/hausdorff+space>.
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