Introduction To Lambda Trees

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The theory of ?-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 ?-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmüller space for a finitely generated group using R-trees. In that work they were led to define the idea of a ?-tree, where ? 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 ?, including some interesting connections with model theory.Introduction to ?-Trees will prove to be useful for mathematicians and research students in algebra and topology.Format: HardcoverNo of Pages: 328Imprint: World ScientificPublication date: 20010301 Show more