Axes in outer space / / Michael Handel, Lee Mosher

• Record Nr.: UNINA9910828112203321
• Autore: Handel Michael <1949->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2011; ©2011
• ISBN: 1-4704-0621-7
• Descrizione fisica: 1 online resource (104 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 213, Number 1004
• Disciplina: 514.22
• Soggetti: Geometric group theory; Low-dimensional topology
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Volume 213, Number 1004 (end of volume)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Chapter 1. Introduction""; ""1.1. Characterizations of the axis bundle""; ""1.2. The main theorems""; ""1.3. A question of Vogtmann""; ""1.4. Contents and proofs""; ""1.5. Problems and questions""; ""Chapter 2. Preliminaries""; ""2.1. Outer space and outer automorphisms""; ""2.2. Paths, circuits and edge paths""; ""2.3. Folds""; ""2.4. Train track maps""; ""2.5. The attracting tree T+""; ""2.6. Geodesic laminations in trees and marked graphs""; ""2.7. The expanding lamination -""; ""2.8. Relating - to T- and to T+""; ""Chapter 3. The ideal Whitehead graph""; ""3.1. Definition and structure of the ideal Whitehead graph""""3.2. Asymptotic leaves and the ideal Whitehead graph""; ""3.3. T+ and the ideal Whitehead graph""; ""3.4. An example of an ideal Whitehead graph""; ""Chapter 4. Cutting and pasting local stable Whitehead graphs""; ""4.1. Pasting local stable Whitehead graphs""; ""4.2. Cutting local stable Whitehead graphs""; ""4.3. The finest local decomposition""; ""Chapter 5. Weak train tracks""; ""5.1. Local decomposition of the ideal Whitehead graph""; ""5.2. Folding up to a weak train track""; ""5.3. Comparing train tracks to weak train tracks""""5.4. Rigidity and irrigidity of - isometries""; ""5.5. Examples of exceptional weak train tracks""; ""Chapter 6. Topology of the axis bundle""; ""6.1. Continuity properties of the normalized axis bundle""; ""6.2. The Gromov topology on weak train tracks""; ""6.3. Properness of the length map""; ""6.4. ; Applying Skora's method to the Properness Theorem 6.1""; ""6.5. Remarks on stable train tracks""; ""Chapter 7. Fold lines""; ""7.1. Examples of fold paths""; ""7.2. Characterizing fold lines""; ""7.3. Direct limits of fold rays""; ""7.4. Legal laminations of split rays""""7.5. Weak train tracks on fold lines""; ""Bibliography""