Millennium Prize Problems

7

Poincaré conjecture

"The Poincaré conjecture problem" related illustration"The Poincaré conjecture problem" related illustration
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"The Poincaré conjecture problem" related illustration

The Poincaré conjecture problem is from the field of topology and is concerned with the classification of three-dimensional spaces. It asks whether every connected, closed three-dimensional manifold is homeomorphic to a three-dimensional sphere.