Quasi-actions on trees II : finite depth Bass-Serre trees / / Lee Mosher, Michah Sageev, Kevin Whyte
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| Autore: |
Mosher Lee <1957->
|
| Titolo: |
Quasi-actions on trees II : finite depth Bass-Serre trees / / Lee Mosher, Michah Sageev, Kevin Whyte
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| ©2011 | |
| Descrizione fisica: | 1 online resource (105 p.) |
| Disciplina: | 512/.2 |
| Soggetto topico: | Geometric group theory |
| Rigidity (Geometry) | |
| Persona (resp. second.): | SageevMichah <1966-> |
| WhyteKevin <1970-> | |
| Note generali: | "November 2011, volume 214, number 1008 (fourth of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | ""Contents""; ""Chapter 1. Introduction""; ""1.1. Example applications""; ""1.2. The methods of proof: a special case""; ""1.3. The general setting""; ""1.4. Statements of results""; ""1.5. Structure of the paper""; ""Chapter 2. Preliminaries""; ""2.1. Coarse language""; ""2.2. Coarse properties of subgroups""; ""2.3. Coboundedness principle""; ""2.4. Bass-Serre trees and Bass-Serre complexes""; ""2.5. Irreducible graphs of groups""; ""2.6. Coarse PD(n) spaces and groups""; ""2.7. The methods of proof: the general case""; ""Chapter 3. Depth Zero Vertex Rigidity"" |
| ""3.1. A sufficient condition for depth zero vertex rigidity""""3.2. Proof of the Depth Zero Vertex Rigidity Theorem""; ""Chapter 4. Finite Depth Graphs of Groups""; ""4.1. Definitions and examples""; ""4.2. Proof of the Vertex�Edge Rigidity Theorem 2.11""; ""4.3. Reduction of finite depth graphs of groups""; ""Chapter 5. Tree Rigidity""; ""5.1. Examples and motivations""; ""5.2. Outline of the Tree Rigidity Theorem""; ""5.3. Special case: isolated edge spaces""; ""5.4. Special case: all edges have depth one""; ""5.4.1. Proof of Lemma 5.5: an action on a 2-complex"" | |
| ""5.4.2. Proof of the Tracks Theorem 5.7""""5.5. Proof of the Tree Rigidity Theorem""; ""Chapter 6. Main Theorems""; ""Chapter 7. Applications and Examples""; ""7.1. Patterns of edge spaces in a vertex space""; ""7.2. Hn vertex groups and Z edge groups""; ""7.3. H3 vertex groups and surface fiber edge groups""; ""7.4. Surface vertex groups and cyclic edge groups""; ""7.5. Graphs of abelian groups""; ""7.6. Quasi-isometry groups and classification""; ""Bibliography""; ""Index"" | |
| Altri titoli varianti: | Quasi-actions on trees 2 |
| Titolo autorizzato: | Quasi-actions on trees II |
| ISBN: | 1-4704-0625-X |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910819084903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Number 1008.