Correlation in partially ordered sets (Q1201107)
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scientific article; zbMATH DE number 97212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Correlation in partially ordered sets |
scientific article; zbMATH DE number 97212 |
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Correlation in partially ordered sets (English)
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17 January 1993
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Basic results concerning correlation within ordered sets that focus on distributive lattices, systems of subsets ordered by proper inclusion and the family of linear extensions of an arbitrary finite ordered set are reviewed in this paper. Let us quote some interesting results: the Ahlswede-Daykin theorem, the FKG theorem, the universal correlation theorems of Winkler and Brightwell. Some theorems are proved carefully and the author mentions some open problems.
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FKG inequality
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correlation
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distributive lattices
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systems of subsets ordered by proper inclusion
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linear extensions
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0.86567247
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