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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| - Double suspension theorem (en)
- Теорема о двойной надстройке (ru)
- Теорема про подвійну надбудову (uk)
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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. (en)
- Теорема о двойной надстройке утверждает, что двойная надстройка S2X гомологической сферы X гомеоморфна сфере. Теорема доказана Кэнноном и Эдвардсом. (ru)
- Теорема про подвійну надбудову стверджує, що подвійна надбудова S2X гомологічної сфери X гомеоморфна сфері. Теорему довели Кеннон та Едвардс. (uk)
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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. (en)
- Теорема о двойной надстройке утверждает, что двойная надстройка S2X гомологической сферы X гомеоморфна сфере. Теорема доказана Кэнноном и Эдвардсом. (ru)
- Теорема про подвійну надбудову стверджує, що подвійна надбудова S2X гомологічної сфери X гомеоморфна сфері. Теорему довели Кеннон та Едвардс. (uk)
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