庞加莱的猜想

Poincare's conjecture

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1
要理解庞加莱猜想，当始于对三维世界存在的一切物体的认识。
To understand the poincare conjecture, start by thinking of any object existing in a three-dimensional world.
2
庞加莱猜想的重要不仅在于它的实际应用性，还因为巨量的数学工作是基于假定庞加莱猜想是正确的。
Poincare's conjecture is important not for its practical applications, but because a vast quantity of mathematical work assumes that it is true.
3
给出我们生活的这个世界的三维空间，庞加莱猜想能够告诉我们我们的宇宙的形状。
Given that we live in a world with three spatial dimensions, the poincare conjecture tells us ultimately what shape our universe could be.

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