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" (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.
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Hausdorff SpaceHausdorff axiomHausdorff axiomsHausdorff propertyHausdorff separation axiomHausdorff spacesHausdorff topological spaceHausdorff topologyHausdorffnessPreregular spacePreregular topologyR1 spaceR1 topologySeparated spaceSeparated topologySeparated uniformityT2-separation axiomT2-spaceT2 spaceT2 topologyT₂ space
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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" (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.
has abstract
Ein Hausdorff-Raum (auch hausd ...... Trennungsaxiom genannt) gilt.
@de
En mathématiques, un espace sé ...... uite généralisée convergente).
@fr
En topología, un espacio de Ha ...... o) es un espacio de Hausdorff.
@es
In de topologie en andere deel ...... rff-eigenschap als een axioma.
@nl
In topologia, uno spazio di Ha ...... rare anche spazi non separati.
@it
In topology and related branch ...... usdorff condition as an axiom.
@en
Przestrzeń Hausdorffa – wprowa ...... trzeni, które spełniałyby oraz
@pl
Um espaço de Hausdorff (ou esp ...... gico dada por Felix Hausdorff.
@pt
Хаусдорфово пространство — топ ...... термин хаусдорфова топология.
@ru
في الطوبولوجيا، فضاء هاوسدورف ...... ورف أحد مؤسسي علم الطوبولوجيا.
@ar
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title
Hausdorff space
hypernym
comment
Ein Hausdorff-Raum (auch hausd ...... Trennungsaxiom genannt) gilt.
@de
En mathématiques, un espace sé ...... riginale d'espace topologique.
@fr
En topología, un espacio de Ha ...... o) es un espacio de Hausdorff.
@es
In de topologie en andere deel ...... elix Hausdorff, een van de gro
@nl
In topologia, uno spazio di Ha ...... rare anche spazi non separati.
@it
In topology and related branch ...... usdorff condition as an axiom.
@en
Przestrzeń Hausdorffa – wprowa ...... . Przestrzeń topologiczną oraz
@pl
Um espaço de Hausdorff (ou esp ...... gico dada por Felix Hausdorff.
@pt
Хаусдорфово пространство — топ ...... термин хаусдорфова топология.
@ru
في الطوبولوجيا، فضاء هاوسدورف ...... ورف أحد مؤسسي علم الطوبولوجيا.
@ar
label
Espace séparé
@fr
Espacio de Hausdorff
@es
Espaço de Hausdorff
@pt
Hausdorff space
@en
Hausdorff-Raum
@de
Hausdorff-ruimte
@nl
Przestrzeń Hausdorffa
@pl
Spazio di Hausdorff
@it
Хаусдорфово пространство
@ru
فضاء هاوسدورف
@ar
