Kolmogorov space
In topology and related branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of X, at least one of them has a neighborhood not containing the other. In a T0 space all points are topologically distinguishable. T0 spaces that are not T1 spaces are exactly those spaces for which the specialization preorder is a nontrivial partial order. Such spaces naturally occur in computer science, specifically in denotational semantics.
primaryTopic
Kolmogorov space
In topology and related branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of X, at least one of them has a neighborhood not containing the other. In a T0 space all points are topologically distinguishable. T0 spaces that are not T1 spaces are exactly those spaces for which the specialization preorder is a nontrivial partial order. Such spaces naturally occur in computer science, specifically in denotational semantics.
has abstract
25بك المحتوى هنا ينقصه الاستشه ...... م الرياضيات أندريه كولموغوروف.
@ar
Em topologia, um ramo da matem ...... deles mas não contém o outro.
@pt
En topologie et dans d'autres ...... icien russe Andreï Kolmogorov.
@fr
In de topologie, een van deelg ...... een van de scheidingsaxioma's.
@nl
In der Topologie und verwandte ...... der üblichen Trennungsaxiome.
@de
In matematica, e più precisame ...... a uno di questi e non l'altro.
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In topology and related branch ...... lly in denotational semantics.
@en
Przestrzeń to termin w topolog ...... tematyka Andrieja Kołmogorowa.
@pl
Un espacio topológico se dice ...... e un entorno de de forma que .
@es
在拓扑学和相关的数学分支中，T0空間，又稱柯爾莫哥洛夫空間，以數學家安德雷·柯爾莫哥洛夫命名，形成了一类广泛的表现良好的拓扑空间。T0 条件是分离公理之一。
@zh
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25بك المحتوى هنا ينقصه الاستشه ...... م الرياضيات أندريه كولموغوروف.
@ar
Em topologia, um ramo da matem ...... deles mas não contém o outro.
@pt
En topologie et dans d'autres ...... icien russe Andreï Kolmogorov.
@fr
In de topologie, een van deelg ...... een van de scheidingsaxioma's.
@nl
In der Topologie und verwandte ...... der üblichen Trennungsaxiome.
@de
In matematica, e più precisame ...... a uno di questi e non l'altro.
@it
In topology and related branch ...... lly in denotational semantics.
@en
Przestrzeń to termin w topolog ...... tematyka Andrieja Kołmogorowa.
@pl
Un espacio topológico se dice ...... e un entorno de de forma que .
@es
在拓扑学和相关的数学分支中，T0空間，又稱柯爾莫哥洛夫空間，以數學家安德雷·柯爾莫哥洛夫命名，形成了一类广泛的表现良好的拓扑空间。T0 条件是分离公理之一。
@zh
label
Espace de Kolmogorov
@fr
Espacio de Kolmogórov
@es
Espaço de Kolmogorov
@pt
Kolmogoroff-Raum
@de
Kolmogorov space
@en
Kolmogorov-ruimte
@nl
Przestrzeń T0
@pl
Spazio T0
@it
فضاء كولموغوروف
@ar
コルモゴロフ空間
@ja