INTRODUCTION TO LAMBDA TREES by Ian Chiswell ( 9789810243869 )

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Title:

INTRODUCTION TO LAMBDA TREES

By:

Ian Chiswell

Format:

Hardback

List price:

£112.00

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£100.80

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10% off

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£11.20

ISBN 10:

9810243863

ISBN 13:

9789810243869

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Publisher:

WORLD SCIENTIFIC PUBLISHING CO PTE LTD

Pages:

328

Description:

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.

Synopsis:

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.

Publication:

Singapore

Imprint:

World Scientific Publishing Co Pte Ltd

Returns:

Returnable

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