Dimension invariance of subdivisions (Q2716970)

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scientific article; zbMATH DE number 1599696
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English
Dimension invariance of subdivisions
scientific article; zbMATH DE number 1599696

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    Dimension invariance of subdivisions (English)
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    17 April 2002
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    \(N\)-free ordered set
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    dimension
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    combinatorial theory
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    The authors try to settle Habib's conjecture on the dimension of an \(N\)-free ordered set in the negative by using the same subdivision idea but in a more sophisticated context. They show that the dimension of an ordered set is unchanged for any subdivision of its completion.
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