Double suspension theorem
http://dbpedia.org/resource/Double_suspension_theorem an entity of type: WikicatTheoremsInTopology
In geometric topology, the double suspension theorem of James W. Cannon and Robert D. Edwards states that the double suspension S2X of a homology sphere X is a topological sphere. If X is a piecewise-linear homology sphere but not a sphere, then its double suspension S2X (with a triangulation derived by applying the double suspension operation to a triangulation of X) is an example of a triangulation of a topological sphere that is not piecewise-linear. The reason is that, unlike in piecewise-linear manifolds, the link of one of the suspension points is not a sphere.
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Теорема о двойной надстройке утверждает, что двойная надстройка S2X гомологической сферы X гомеоморфна сфере. Теорема доказана Кэнноном и Эдвардсом.
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Теорема про подвійну надбудову стверджує, що подвійна надбудова S2X гомологічної сфери X гомеоморфна сфері. Теорему довели Кеннон та Едвардс.
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Double suspension theorem
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Теорема о двойной надстройке
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Теорема про подвійну надбудову
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25824456
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1016688411
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In geometric topology, the double suspension theorem of James W. Cannon and Robert D. Edwards states that the double suspension S2X of a homology sphere X is a topological sphere. If X is a piecewise-linear homology sphere but not a sphere, then its double suspension S2X (with a triangulation derived by applying the double suspension operation to a triangulation of X) is an example of a triangulation of a topological sphere that is not piecewise-linear. The reason is that, unlike in piecewise-linear manifolds, the link of one of the suspension points is not a sphere.
rdf:langString
Теорема о двойной надстройке утверждает, что двойная надстройка S2X гомологической сферы X гомеоморфна сфере. Теорема доказана Кэнноном и Эдвардсом.
rdf:langString
Теорема про подвійну надбудову стверджує, що подвійна надбудова S2X гомологічної сфери X гомеоморфна сфері. Теорему довели Кеннон та Едвардс.
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2331