Last Updated :2025/11/29

Cantor set

Noun
Japanese Meaning
連続区間の各連結成分から中央部分を再帰的に除去することで構成される数学的集合。
What is this buttons?

カントール集合は、区間の各連結成分の中央部分を再帰的に取り除くことで得られる部分集合で、位相や解析学の古典的な例として知られている。非可算でありながら全く連結しておらず、ルベーグ測度はゼロである。

plural

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(mathematical analysis, topology) A subset of an interval formed by recursively removing an interval in the middle of every connected component of the set.

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Cantor set

The Cantor set provides a classic example in topology and analysis: it is uncountable, totally disconnected, and has Lebesgue measure zero.

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The Cantor set provides a classic example in topology and analysis: it is uncountable, totally disconnected, and has Lebesgue measure zero.

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