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"The theory of [lambda]-trees has its origin in the work of Lyndon on length functions in groups. The first definition of an R-tree was given by Tits in 1977. The importance of [lambda]-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmčuller space for a finitely generated group using R-trees. In that work they were led to define the idea of a [lambda]-tree, where [lambda] is an arbitrary ordered abelian group. Since then there has been much progress in understanding the structure of groups acting on R-trees, notably Rips' theorem on free actions. There has also been some progress for certain other ordered abelian groups [lambda], including some interesting connections with model theory. Introduction to [lambda]-Trees will prove to be useful for mathematicians and research students in algebra and topology."

Publisher:
Singapore ; River Edge, N.J. : World Scientific, Ă2001

ISBN:
9789812810533

9812810536

9781281956217

128195621X

9789810243869

9810243863

9812810536

9781281956217

128195621X

9789810243869

9810243863

Characteristics:
1 online resource (x, 315 pages) : illustrations

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