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Poincaré Conjecture
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High Quality Content by WIKIPEDIA articles! In mathematics, the Poincaré conjecture (French, pronounced [pw ka e]) is a theorem about the characterization of the three-dimensional sphere among three-dimensional manifolds. It began as a popular, important conjecture, but is now considered a theorem to the satisfaction of the awarders of the Fields medal. The claim 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 just a three-dimensional sphere. An analogous result has been known in higher dimensions for some time.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130335687
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Genre Physik & Astronomie
- Größe H220mm x B150mm x T5mm
- Jahr 2010
- EAN 9786130335687
- Format Kartonierter Einband
- ISBN 978-613-0-33568-7
- Titel Poincaré Conjecture
- Untertitel Mathematics, Theorem, Characterization, 3-sphere, 3-manifold, Conjecture, Fields Medal, Generalized Poincaré Conjecture, Grigori Perelman
- Gewicht 130g
- Herausgeber Betascript Publishers
- Anzahl Seiten 76
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