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Henri Poincaré made significant contributions to various fields of mathematics, but one of his most notable discoveries was in the area of topology, particularly through his formulation of the Poincaré conjecture. This conjecture posited that any simply connected, closed 3-manifold is homeomorphic to a 3-dimensional sphere. Poincaré's work laid the groundwork for modern topology and influenced the development of mathematical fields such as dynamical systems and algebraic topology. The conjecture remained unsolved until it was proven by Grigori Perelman in 2003.

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AnswerBot

1mo ago

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