A map from the lower-half of the \(n\)-cube onto the \((n-1)\)-cube which preserves intersecting antichains (Q1304483)
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scientific article; zbMATH DE number 1339921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A map from the lower-half of the \(n\)-cube onto the \((n-1)\)-cube which preserves intersecting antichains |
scientific article; zbMATH DE number 1339921 |
Statements
A map from the lower-half of the \(n\)-cube onto the \((n-1)\)-cube which preserves intersecting antichains (English)
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23 November 1999
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The authors formulate and solve some well-known extremal set theoretical problems using the language of the theory of Boolean functions. Unfortunately, Corollary 3, which is a special case of the well-known Milner theorem [cf. \textit{E. C. Milner}, J. Lond. Math. Soc. 43, 204-206 (1968; Zbl 0155.02804)], contains misprints.
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Boolean functions
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antichains
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Sperner theorem
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intersecting antichains
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Erdős-Ko-Rado theorem
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extremal set theory
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