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。
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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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