Generic coarse geometry of leaves [e-book] / Jesús A. Álvarez López, Alberto Candel

• Autore: Alvarez López, Jesús A.
• Descrizione fisica: 1 online resource (xv, 173 pages) : illustrations
• Disciplina: 514.72
• Soggetto topico: Foliations (Mathematics); Riemannian manifolds
• Classificazione: AMS 57R30; AMS 53C12; LC QA613.62
• Altri autori: Candel, Albertoauthor
• Nota di bibliografia: Includes bibliographical references and index
• Sommario/riassunto: This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants. Every leaf of a compact foliated space has an induced coarse quasi-isometry type, represented by the coarse metric defined by the length of plaque chains given by any finite foliated atlas. When there are dense leaves either all dense leaves without holonomy are uniformly coarsely quasi-isometric to each other, or else every leaf is coarsely quasi-isometric to just meagerly many other leaves. Moreover, if all leaves are dense, the first alternative is characterized by a condition on the leaves called coarse quasi-symmetry. Similar results are proved for more specific coarse invariants, like growth type, asymptotic dimension, and amenability. The Higson corona of the leaves is also studied. All the results are richly illustrated with examples
• ISBN: 9783319941325; 3319941321; 9783319941318
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 991003636939707536
• Lo trovi qui: Univ. del Salento
• Localizzazioni e accesso elettronico: http://link.springer.com/10.1007/978-3-319-94132-5
• Serie: Lecture notes in mathematics, 0075-8434 ; 2223