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shift transformation

Journal of the Institute of Mathematics of Jussieu (1)

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LIPSCHITZ MAPS ON TREES
Stevo Todorcevic
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 6 / Issue 3 / July 2007

Published online by Cambridge University Press:

04 December 2006, pp. 527-556

Print publication:

July 2007
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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.