LAMBDA表达式树导论INTRODUCTION TO LAMBDA TREES

书籍目录

Chapter 1. Preliminaries  1. Ordered abelian groups   2. Metric spaces  3. Graphs and simplicial trees  4. ValuationsChapter 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 functionsChapter 3. Isometries of A-trees  1. Theory of a single isometry  2. Group actions as isometries  3. Pairs of isometries  4. Minimal actionsChapter 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-treesChapter 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 conclusionReferencesIndex of NotationIndex

作者简介

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.

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