INTRODUCTION TO LAMDA-TREES by Chiswell, Ian ISBN 9810243863
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[edit] INTRODUCTION TO LAMDA-TREES
An introductory text on lambda-trees. It should be suitable for research students in algebra and topology, and covers: the construction of lambda-trees; the isometries of lambda-trees; aspects of group actions on lambda-trees; free actions; and Rips' Theorem.
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 Teichmuller 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.
[edit] Book Details
[edit] Title
INTRODUCTION TO LAMDA-TREES
[edit] Author
Chiswell, Ian
[edit] ISBN
9810243863
[edit] Published
28/02/2001
[edit] Publisher
World Scientific Publishing Co Pte.Ltd, Singapore
[edit] Binding
hardback
[edit] Retail Price
48 (GBP)
[edit] Typical Price Online
48 (GBP)
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