Stone–Čech compactification
In the mathematical discipline of general topology, Stone–Čech compactification (or Čech–Stone compactification) is a technique for constructing a universal map from a topological space X to a compact Hausdorff space βX. The Stone–Čech compactification βX of a topological space X is the largest compact Hausdorff space "generated" by X, in the sense that any map from X to a compact Hausdorff space factors through βX (in a unique way). If X is a Tychonoff space then the map from X to its image in βX is a homeomorphism, so X can be thought of as a (dense) subspace of βX. For general topological spaces X, the map from X to βX need not be injective.
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Stone-AOEech compactificationStone-CechStone-Cech CompactificationStone-Cech compactificationStone-Chech compactificationStone-Czech compactificationStone-cech compactificationStone-chechStone-Čech compactificationStone Cech CompactificationStone Cech compactificationStone cech compactificationStone–Cech compactificationStone–Chech compactificationŠtone-Cech compactificationΒN
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Stone–Čech compactification
In the mathematical discipline of general topology, Stone–Čech compactification (or Čech–Stone compactification) is a technique for constructing a universal map from a topological space X to a compact Hausdorff space βX. The Stone–Čech compactification βX of a topological space X is the largest compact Hausdorff space "generated" by X, in the sense that any map from X to a compact Hausdorff space factors through βX (in a unique way). If X is a Tychonoff space then the map from X to its image in βX is a homeomorphism, so X can be thought of as a (dense) subspace of βX. For general topological spaces X, the map from X to βX need not be injective.
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Die Stone–Čech-Kompaktifizier ...... it einer bestimmten Topologie.
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En mathématiques, et plus préc ...... e X vers un espace compact βX.
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In de algemene topologie, een ...... op βX niet injectief te zijn.
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In the mathematical discipline ...... l Stone () and Eduard Čech ().
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La compattificazione di Stone- ...... uta aggiungendo un punto solo.
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Uzwarcenie Čecha-Stone’a – mak ...... a Marshalla H. Stone’a w 1937.
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Компактификация Стоуна — Чеха ...... жно описать явную конструкцию.
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數學的點集拓撲學中，斯通－切赫（Stone–Čech）緊化是 ...... N是自然數集合），都不會直接描述出βN \ N內的任何一點。
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Die Stone–Čech-Kompaktifizier ...... konkrete Angabe von anzugeben.
@de
En mathématiques, et plus préc ...... e X vers un espace compact βX.
@fr
In de algemene topologie, een ...... Hausdorff-ruimte factoriseert.
@nl
In the mathematical discipline ...... X to βX need not be injective.
@en
La compattificazione di Stone- ...... uta aggiungendo un punto solo.
@it
Uzwarcenie Čecha-Stone’a – mak ...... a Marshalla H. Stone’a w 1937.
@pl
Компактификация Стоуна — Чеха ...... жно описать явную конструкцию.
@ru
數學的點集拓撲學中，斯通－切赫（Stone–Čech）緊化是 ...... N是自然數集合），都不會直接描述出βN \ N內的任何一點。
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Compactification de Stone-Čech
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Compattificazione di Stone-Čech
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Stone-Čech-Kompaktifizierung
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Stone-Čech-compactificatie
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Stone–Čech compactification
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Uzwarcenie Čecha-Stone’a
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Компактификация Стоуна — Чеха
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斯通－切赫緊化
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