Homogeneous permutations
type: Item
instance of: scholarly article
title: Homogeneous permutations
zbMATH Open document ID: 1039.05001
author: Peter J. Cameron
published in: The Electronic Journal of Combinatorics
publication date: 2003-05-13T00:00:00Z
full work available at URL: https://eudml.org/doc/123598
full work available at URL: v9i2r2.html
review text: 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.
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 03C07
Mathematics Subject Classification ID: 03E20
zbMATH DE Number: 1861454
zbMATH Keywords: infinite permutations
zbMATH Keywords: countable homogeneous
zbMATH Keywords: Fraissé theory
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1861454