Homogeneous permutations (Q1856064)
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scientific article; zbMATH DE number 1861454
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homogeneous permutations |
scientific article; zbMATH DE number 1861454 |
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Homogeneous permutations (English)
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13 May 2003
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The author discusses infinite generalizations of permutations. The point of view of regarding a finite permutation as a pair of total orders is adopted; a natural infinite generalization derives. Hence, infinite permutations appear to be homogeneous structures as defined by Fraissé. The aim of this paper is to determine the Fraissé classification of permutations; it is proved that there are just five Fraissé classes of permutations.
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infinite permutations
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countable homogeneous
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Fraissé theory
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