Equality in a result of Kleitman (Q1320398)
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scientific article; zbMATH DE number 554406
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equality in a result of Kleitman |
scientific article; zbMATH DE number 554406 |
Statements
Equality in a result of Kleitman (English)
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14 September 1994
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If \(U_ 1\) and \(U_ 2\) are families of subsets of \(S\), both upsets, then \(| U_ 1 | | U_ 2 | \leq 2^{| S |} | U_ 1 \cap U_ 2 |\) with equality if every minimal element of \(U_ 1\) is disjoint from every minimal element of \(U_ 2\).
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families of subsets
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equality
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minimal element
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