Maximizing the Möbius function of a poset and the sum of the Betti numbers of the order complex (Q1586351)
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scientific article; zbMATH DE number 1528643
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximizing the Möbius function of a poset and the sum of the Betti numbers of the order complex |
scientific article; zbMATH DE number 1528643 |
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Maximizing the Möbius function of a poset and the sum of the Betti numbers of the order complex (English)
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13 November 2000
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The author is concerned with the following question: when does the absolute value of the Möbius function, defined on different classes of partially ordered sets, take its maximum? A sharp upper bound is given for this in the class of posets of bounded width and a classification is given of the posets which take this bound. A sharp bound for the sum of the Betti numbers for the order complexes of posets is given.
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poset
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Betti number
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