Last Updated :2025/12/04

Sperner's theorem

Proper noun
Japanese Meaning
Spernerの定理とは、有限集合族の中で、いずれの集合も他の集合を含まないような、最大サイズの集合族がどのようなものであるかを記述する定理である。
What is this buttons?

組合せ論のセミナーで、いずれの集合も他の集合を含まない有限集合族の最大の大きさを記述する定理を用いて、n元集合の部分集合族の最大サイズを求めました。

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(set theory) A theorem that describes the largest possible families of finite sets none of which contain any other sets in the family.

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Sperner's theorem

In our combinatorics seminar, we used Sperner's theorem to determine the maximum size of a family of subsets of an n-element set in which no set contains another.

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In our combinatorics seminar, we used Sperner's theorem to determine the maximum size of a family of subsets of an n-element set in which no set contains another.

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