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Millenium Prize awarded - Poincaré conjecture

epee1221 (873140) writes | more than 4 years ago

Math 0

epee1221 (873140) writes "The Clay Mathematics institute has announced its acceptance of Dr. Grigoriy Perelman's proof of the Poincaré conjecture and awarded the first Millenium Prize. Poincaré questioned whether there exists a method for determining whether a three-dimensional manifold is a spherical: is there a 3-manifold not homologous to the 3-sphere in which any loop can be grdually shrunk to a single point? The Poincaré conjecture is that there is no such 3-manifold, i.e. any boundless 3-manifold in which the condition holds is homeomorphic to the 3-sphere. A sketch of the proof using language intended for the lay reader is available at Wikipedia."
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