Introduction To Lambda Trees
eBook - PDF

Introduction To Lambda Trees

  1. 328 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Introduction To Lambda Trees

Book details
Table of contents
Citations

About This Book

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 TeichmĂźller 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.

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Yes, you can access Introduction To Lambda Trees by Ian Chiswell in PDF and/or ePUB format, as well as other popular books in Matematica & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
World Scientific
Year
2001
ISBN
9789812810533
Topic
Matematica
Subtopic
Algebra

Table of contents

  1. Contents
  2. Chapter 1. Preliminaries
  3. Chapter 2. Λ-trees and their Construction
  4. Chapter 3. Isometries of Λ-trees
  5. Chapter 4. Aspects of Group Actions on Λ-trees
  6. Chapter 5. Free Actions
  7. Chapter 6. Rips' Theorem
  8. References
  9. Index of Notation
  10. Index