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Espaço T1 T1-ruimte T1空间 T1 space Espace T1 T1 공간 T1-rum T1空間 Przestrzeń T1 Espai T1 Espacio T1 Простір T1 Spazio T1 T1-Raum
rdfs:comment
En topología un espacio T1 o de Fréchet es un caso particular de espacio topológico. Przestrzeń – termin topologiczny odnoszący się do jednego ze słabszych aksjomatów oddzielania. Dawniej przestrzenie spełniające ten warunek były nazywane też przestrzeniami Frécheta, ale wydaje się, że dzisiaj ta druga nazwa jest używana głównie w innym znaczeniu. Ett T1-rum är en speciell sorts topologiskt rum, T1-egenskapen är ett exempel på ett . Простір — топологічний простір, що задовольняє одній з найслабших аксіом відокремлюваності . Іноді простори, що задовольняють цій умові також називаються просторами Фреше, але цей термін також використовується в інших значеннях. In topology and related branches of mathematics, a T1 space is a topological space in which, for every pair of distinct points, each has a neighborhood not containing the other point. An R0 space is one in which this holds for every pair of topologically distinguishable points. The properties T1 and R0 are examples of separation axioms. In matematica, e più precisamente in topologia, uno spazio T1 è uno spazio topologico che soddisfa il seguente assioma di separazione: Per ogni coppia di punti distinti x e y esistono due aperti U e V tali che U contiene x e non y, mentre V contiene y e non x. 在拓扑学和相关的数学分支中,T1 空间和 R0 空间是特定种类的拓扑空间。T1 和 R0 性质是分离公理的个例。 In der Topologie und verwandten Gebieten der Mathematik sind T1-Räume spezielle topologische Räume, die gewisse angenehme Eigenschaften besitzen. Das T1-Axiom ist ein Beispiel eines Trennungsaxioms. Em topologia, um espaço topológico é T1 quando dois pontos quaisquer podem ser separados por um aberto, no seguinte sentido: para cada ponto, existe um aberto que o inclui e não inclui o outro ponto. En mathématiques, un espace accessible (ou espace T1, ou de Fréchet) est un cas particulier d'espace topologique. Il s'agit d'un exemple d'axiome de séparation. En topologia, un espai T1 o de Fréchet es un cas particular d'espai topològic. 일반위상수학에서 T1 공간(T1空間, 영어: T1 space)은 주어진 두 점에 대하여, 첫째를 포함하며 둘째를 포함하지 않는 열린집합이 존재하는 위상 공간이다. 이는 콜모고로프 공간보다 강하지만, 하우스도르프 공간보다 약한 개념이다. 간혹 프레셰 공간(Fréchet space)이라고도 하는데, 이 용어는 함수해석학에서 다루는, 무관한 개념인 프레셰 공간과 혼동될 수 있다. In de topologie en andere gerelateerde deelgebieden van de wiskunde zijn T1-ruimten en R0-ruimten bijzondere soorten van topologische ruimten. De T1- en R0-eigenschappen zijn voorbeelden van scheidingsaxiomas. 数学の位相空間論周辺分野における T1-空間(T1-くうかん、英: T1 space)は、相異なる二点を選べば必ず、その各々の点がもう一方の点を含まない開近傍を持つ位相空間を言う。同じことが位相的に識別可能な二点についてのみ成り立つ場合は R0-空間と言う。条件 T1 および R0 は分離公理の例である。
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In der Topologie und verwandten Gebieten der Mathematik sind T1-Räume spezielle topologische Räume, die gewisse angenehme Eigenschaften besitzen. Das T1-Axiom ist ein Beispiel eines Trennungsaxioms. In de topologie en andere gerelateerde deelgebieden van de wiskunde zijn T1-ruimten en R0-ruimten bijzondere soorten van topologische ruimten. De T1- en R0-eigenschappen zijn voorbeelden van scheidingsaxiomas. 일반위상수학에서 T1 공간(T1空間, 영어: T1 space)은 주어진 두 점에 대하여, 첫째를 포함하며 둘째를 포함하지 않는 열린집합이 존재하는 위상 공간이다. 이는 콜모고로프 공간보다 강하지만, 하우스도르프 공간보다 약한 개념이다. 간혹 프레셰 공간(Fréchet space)이라고도 하는데, 이 용어는 함수해석학에서 다루는, 무관한 개념인 프레셰 공간과 혼동될 수 있다. En mathématiques, un espace accessible (ou espace T1, ou de Fréchet) est un cas particulier d'espace topologique. Il s'agit d'un exemple d'axiome de séparation. Em topologia, um espaço topológico é T1 quando dois pontos quaisquer podem ser separados por um aberto, no seguinte sentido: para cada ponto, existe um aberto que o inclui e não inclui o outro ponto. Простір — топологічний простір, що задовольняє одній з найслабших аксіом відокремлюваності . Іноді простори, що задовольняють цій умові також називаються просторами Фреше, але цей термін також використовується в інших значеннях. In topology and related branches of mathematics, a T1 space is a topological space in which, for every pair of distinct points, each has a neighborhood not containing the other point. An R0 space is one in which this holds for every pair of topologically distinguishable points. The properties T1 and R0 are examples of separation axioms. Ett T1-rum är en speciell sorts topologiskt rum, T1-egenskapen är ett exempel på ett . Przestrzeń – termin topologiczny odnoszący się do jednego ze słabszych aksjomatów oddzielania. Dawniej przestrzenie spełniające ten warunek były nazywane też przestrzeniami Frécheta, ale wydaje się, że dzisiaj ta druga nazwa jest używana głównie w innym znaczeniu. 在拓扑学和相关的数学分支中,T1 空间和 R0 空间是特定种类的拓扑空间。T1 和 R0 性质是分离公理的个例。 In matematica, e più precisamente in topologia, uno spazio T1 è uno spazio topologico che soddisfa il seguente assioma di separazione: Per ogni coppia di punti distinti x e y esistono due aperti U e V tali che U contiene x e non y, mentre V contiene y e non x. En topologia, un espai T1 o de Fréchet es un cas particular d'espai topològic. En topología un espacio T1 o de Fréchet es un caso particular de espacio topológico. 数学の位相空間論周辺分野における T1-空間(T1-くうかん、英: T1 space)は、相異なる二点を選べば必ず、その各々の点がもう一方の点を含まない開近傍を持つ位相空間を言う。同じことが位相的に識別可能な二点についてのみ成り立つ場合は R0-空間と言う。条件 T1 および R0 は分離公理の例である。
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