generalized Poincaré conjecture
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generalized Poincaré conjecture[′jen·rə‚līzd ¦pwän·ka‚rā kən′jek·chər]
The question as to whether every closed n-manifold which has the homotopy type of the n-sphere is homeomorphic to the n-sphere.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.