LAMBDA表达式树导论INTRODUCTION TO LAMBDA TREES

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.

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

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