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　　分類: 图书,进口原版书,科学与技术 Science & Techology ,

作者： Ian Chiswell著

出 版 社： Aspen Publishers

出版时间： 2001-12-1字数：版次： 1页数： 315印刷时间： 2001/01/01开本：印次： 1纸张： 胶版纸I S B N ： 9789810243869包装： 精装内容简介

Introductory text for mathematicians and research students in algebra and topology, introducing the fundamental concepts and theory of A-Trees, including the origins and history of the theory. Discusses connections with other theories such as model theory and R-Trees.

目录

Chapter 1. Preliminaries

1. Ordered abelian groups

2. Metric spaces

3. Graphs and simplicial trees

4. Valuations

Chapter 2. A-trees and their Construction

1. Definition and elementary properties

2. Special properties of R-trees

3. Linear subtrees and ends

4. Lyndon length functions

Chapter 3. Isometries of A-trees

1. Theory of a single isometry

2. Group actions as isometries

3. Pairs of isometries

4. Minimal actions

Chapter 4. Aspects of Group Actions on A-trees

1. Introduction

2. Actions of special classes of groups

3. The action of the special linear group

4. Measured laminations

5. Hyperbolic surfaces

6. Spaces of actions on R-trees

Chapter 5. Free Actions

1. Introduction

2. Harrison's Theorem

3. Some examples

4. Free actions of surface groups

5. Non-standard free groups

Chapter 6. Rips' Theorem

1. Systems of isometries

2. Minimal components

3. Independent generators

4. Interval exchanges and conclusion

References

Index of Notation

Index

 

 

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