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LIPSCHITZ MAPS ON TREES

Published online by Cambridge University Press:  04 December 2006

Stevo Todorcevic
Stevo Todorcevic
Affiliation:
Centre Nationale de la Recherche Scientifique (UMR 7056), 2, place Jussieu, 75251 Paris Cedex 05, France ([email protected]) Department of Mathematics, University of Toronto, 40 George St., Toronto M5S 2E4, Canada ([email protected])
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Abstract

We introduce and study a metric notion for trees and develop a fine structure theory for the corresponding class of Lipschitz trees. We also relate this structure theory to a conjecture of Shelah about the existence of a finite basis for a class of linear orderings and solve an old problem of Laver about well-quasi-ordering a certain class of trees.

Keywords

Lipschitz mapLipschitz treeshift transformationPrimary 03E20Secondary 06A07
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 6 , Issue 3 , July 2007 , pp. 527 - 556
Copyright
2006 Cambridge University Press

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