Poincaré conjecture
Originally conjectured by Henri Poincaré, the theorem concerns a space that locally looks like ordinary three-dimensional space but is connected, finite in size, and lacks any boundary (a closed 3-manifold). The Poincaré conjecture claims that if such a space has the additional property that each loop in the space can be continuously tightened to a point, then it is necessarily a three-dimensional sphere. The analogous conjectures for all higher dimensions had already been proved.
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Poincaré conjecture
Originally conjectured by Henri Poincaré, the theorem concerns a space that locally looks like ordinary three-dimensional space but is connected, finite in size, and lacks any boundary (a closed 3-manifold). The Poincaré conjecture claims that if such a space has the additional property that each loop in the space can be continuously tightened to a point, then it is necessarily a three-dimensional sphere. The analogous conjectures for all higher dimensions had already been proved.
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25بك المحتوى هنا ينقصه الاستشه ...... لبعد من 7 بواسطة سمال سنة 1961
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A conjectura de Poincaré afirm ...... valor de um milhão de dólares.
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Die Poincaré-Vermutung besagt, ...... en, den er ebenfalls ablehnte.
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En matemáticas, y más precisam ...... : la esfera cuatridimensional.
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Hipoteza Poincarégo – twierdze ...... incarégo uzyskała w roku 2006.
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In 1904 stelde Henri Poincaré ...... van de lensruimten van Tietze.
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La congettura di Poincaré è st ...... Jakovlevič Perel'man nel 2003.
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La conjecture de Poincaré étai ...... la communauté mathématique ».
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Originally conjectured by Henr ...... ed in the area of mathematics.
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Гипотеза Пуанкаре́ — доказанна ...... обобщённой гипотезы Пуанкаре.
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Poincaré conjecture
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25بك المحتوى هنا ينقصه الاستشه ...... أخرى فقد تم البرهنة على صحتها:
@ar
A conjectura de Poincaré afirm ...... valor de um milhão de dólares.
@pt
Die Poincaré-Vermutung besagt, ...... che im vierdimensionalen Raum.
@de
En matemáticas, y más precisam ...... : la esfera cuatridimensional.
@es
Hipoteza Poincarégo – twierdze ...... incarégo uzyskała w roku 2006.
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In 1904 stelde Henri Poincaré ...... t , de driedimensionale sfeer?
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La congettura di Poincaré è st ...... Jakovlevič Perel'man nel 2003.
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La conjecture de Poincaré étai ...... par le Russe Grigori Perelman.
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Originally conjectured by Henr ...... sions had already been proved.
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Гипотеза Пуанкаре́ — доказанна ...... зие гомотопически эквивалентно
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Congettura di Poincaré
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Conjectura de Poincaré
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Conjecture de Poincaré
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Hipoteza Poincarégo
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Hipótesis de Poincaré
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Poincaré conjecture
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Poincaré-Vermutung
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Vermoeden van Poincaré
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Гипотеза Пуанкаре
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حدسية بوانكاريه
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