A What is the significance of the Poincaré conjecture?

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Perelman's proof of the Poincaré conjecture is significant as it contributes to the classification of all 3-manifolds. His work demonstrates the more general geometrization conjecture for closed 3-manifolds, encompassing the Poincaré conjecture as a specific instance. This achievement highlights the depth of Perelman's mathematical insight and expertise. The implications of his proof extend beyond the conjecture itself, influencing the broader field of topology. Overall, Perelman's contributions mark a pivotal moment in mathematical history.
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What is the significance of the Poincaré conjecture?
Namely, what does Perelman’s proof of it imply?
 
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Wikipedia said:
The proof of the Poincaré conjecture is an important contribution to the classification of all 3-manifolds. This is because Perelman actually proves the more general geometrization conjecture over closed 3-manifolds, which includes the Poincaré conjecture as a special case.
And it proved that Perelman is a very special person.
 
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