Last Updated :2025/11/23

Poincaré conjecture

Proper noun
Japanese Meaning
唯一の単純連結で閉じた3次元多様体は球面であるという定理。
What is this buttons?

1世紀にわたる試みの末、唯一の単連結で閉じた三次元多様体が球体であるという定理の証明の成功は、三次元空間の理解を一変させた。

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The theorem that the only simply connected, closed 3-dimensional manifold is a sphere.

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Poincaré conjecture

After a century of attempts, the successful proof of the Poincaré conjecture transformed our understanding of three-dimensional spaces.

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After a century of attempts, the successful proof of the Poincaré conjecture transformed our understanding of three-dimensional spaces.

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