Polish space
In the mathematical discipline of general topology, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable dense subset. Polish spaces are so named because they were first extensively studied by Polish topologists and logicians—Sierpiński, Kuratowski, Tarski and others. However, Polish spaces are mostly studied today because they are the primary setting for descriptive set theory, including the study of Borel equivalence relations. Polish spaces are also a convenient setting for more advanced measure theory, in particular in probability theory.
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Polish space
In the mathematical discipline of general topology, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable dense subset. Polish spaces are so named because they were first extensively studied by Polish topologists and logicians—Sierpiński, Kuratowski, Tarski and others. However, Polish spaces are mostly studied today because they are the primary setting for descriptive set theory, including the study of Borel equivalence relations. Polish spaces are also a convenient setting for more advanced measure theory, in particular in probability theory.
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En mathématiques, un espace mé ...... d Tarski et Wacław Sierpiński.
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Im Teilgebiet Topologie der Ma ...... Zusammenhang mit Radon-Maßen.
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In de topologie, een deelgebie ...... n-ruimten en de Radon-ruimtes.
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In matematica, uno spazio pola ...... esto settore della matematica.
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In the mathematical discipline ...... eralizations of Polish spaces.
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Przestrzeń polska – ośrodkowa ...... aną przez autora terminologią.
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Польское пространство — простр ...... счётным плотным подмножеством.
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Польський простір — топологічн ...... зліченною щільною підмножиною.
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数学の位相空間論において、ポーランド空間（ポーランドくうかん ...... 。特に、不可算なポーランド空間の濃度は必ず連続体濃度となる。
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En mathématiques, un espace mé ...... arable est un espace polonais.
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Im Teilgebiet Topologie der Ma ...... bt, die die Topologie erzeugt.
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In de topologie, een deelgebie ...... t inbegrip van de studie van .
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In matematica, uno spazio pola ...... rz Kuratowski e Alfred Tarski.
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In the mathematical discipline ...... ticular in probability theory.
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Przestrzeń polska – ośrodkowa ...... opunktowych zbiorów otwartych.
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Польское пространство — простр ...... счётным плотным подмножеством.
@ru
Польський простір — топологічн ...... зліченною щільною підмножиною.
@uk
数学の位相空間論において、ポーランド空間（ポーランドくうかん ...... 。特に、不可算なポーランド空間の濃度は必ず連続体濃度となる。
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label
Espace polonais
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Polish space
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Polnischer Raum
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Poolse ruimte
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Przestrzeń polska
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Spazio polacco
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Польское пространство
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Польський простір
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ポーランド空間
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폴란드 공간
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