On the number of closed multidimensional monotone maps (Q1878736)
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scientific article; zbMATH DE number 2099445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the number of closed multidimensional monotone maps |
scientific article; zbMATH DE number 2099445 |
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On the number of closed multidimensional monotone maps (English)
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8 September 2004
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The paper considers sets consisting of \(k\) elements equipped with a partial order and mappings between powers of the order. In previous papers the author studied the influence of monotonicity, extensivity, and closedness on the number of such mappings. Here, he proves that the closedness condition does not decrease the asymptotics of the logarithm of higher-dimensional monotone mappings.
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partial order
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monotonicity
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closedness
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