Authors: | Todorčević, Stevo | Title: | Lipschitz maps on trees | Journal: | Journal of the Institute of Mathematics of Jussieu | Volume: | 6 | Issue: | 3 | First page: | 527 | Last page: | 556 | Issue Date: | 1-Jul-2007 | Rank: | M21 | ISSN: | 1474-7480 | DOI: | 10.1017/S1474748006000119 | 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 map | Lipschitz tree | Shift transformation | Publisher: | Cambridge University Press |
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