Last Updated:2025/11/28

In my analysis class, the professor illustrated the Heine-Borel theorem by showing that the closed interval [0,1] is compact because it is closed and bounded.

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In my analysis class, the professor illustrated the Heine-Borel theorem by showing that the closed interval [0,1] is compact because it is closed and bounded.

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解析学の授業で、教授はハイネ・ボレルの定理(ユークリッド空間の部分集合が閉かつ有界であることとコンパクトであることが同値であるという定理)を、閉区間[0,1]が閉で有界であるためコンパクトであることを示して説明した。

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