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Poincaré conjecture
(redirected from Poincare conjecture)

   Also found in: Wikipedia 0.01 sec.
Poincaré conjecture [‚pwän‚kä′rā kən‚jek·chər]
(mathematics)
The question as to whether a compact, simply connected three-dimensional manifold without boundary must be homeomorphic to the three-dimensional sphere.


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3 QA670 Inspired by Grigory Perelman's three preprints, although not slavishly devoted to Perelman's organization, Morgan and Tian provide full details of a complete proof of geometric arguments (particularly the Ricci flow as introduced and studied by Hamilton) that establish the Poincare Conjecture in the affirmative.
Compared to the daily conjecture thrust upon exceptional parents the Poincare Conjecture looks more like an entry level Sudoku (logic puzzle).
The Clay outfit offers $1 million for the solution to any of seven long-standing puzzles in mathematics, and the Poincare conjecture is one of them.
 
 
 
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