Verfasst von: | Rosendal, Christian [VerfasserIn] |
Titel: | Coarse geometry of topological groups |
Verf.angabe: | Christian Rosendal (University of Maryland) |
Verlagsort: | Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, VIC, Australia ; New Delhi, India ; Singapore |
Verlag: | Cambridge University Press |
Jahr: | 2021 |
Umfang: | ix, 297 Seiten |
Illustrationen: | Illustrationen |
Format: | 24 cm |
Gesamttitel/Reihe: | Cambridge tracts in mathematics ; 223 |
Fussnoten: | Literaturverzeichnis Seite 289-294 |
ISBN: | 978-1-108-84247-1 |
Abstract: | "This book provides a general framework for doing geometric group theory for many non-locally-compact topological transformation groups that arise in mathematical practice, including homeomorphism and diffeomorphism groups of manifolds, isometry groups of separable metric spaces and automorphism groups of countable structures. Using Roe's framework of coarse structures and spaces, the author defines a natural coarse geometric structure on all topological groups. This structure is accessible to investigation, especially in the case of Polish groups, and often has an explicit description, generalising well-known structures in several familiar cases such as finitely generated discrete groups, compactly generated locally compact groups and Banach spaces. In most cases, the coarse geometric structure is metrisable and may even be refined to a canonical quasimetric structure on the group. The book contains plenty of worked examples and sufficient introductory material to be accessible to beginning graduate students. An appendix outlines several open problems in this young and rich theory"-- |
DOI: | doi:10.1017/9781108903547 |
URL: | Inhaltsverzeichnis: https://www.gbv.de/dms/tib-ub-hannover/1752281861.pdf |
| zbMATH: https://zbmath.org/?q=an%3A7388048 |
| DOI: https://doi.org/10.1017/9781108903547 |
Schlagwörter: | (s)Geometrische Gruppentheorie / (s)Grobstruktur / (s)Topologische Gruppe / (s)Topologische Transformationsgruppe / (s)Polnischer Raum / (s)Geometrische Gruppentheorie |
Sprache: | eng |
Bibliogr. Hinweis: | Erscheint auch als : Online-Ausgabe: Rosendal, Christian: Coarse geometry of topological groups. - Cambridge : Cambridge University Press, 2022. - 1 Online-Ressource (ix, 297 Seiten) |
RVK-Notation: | SK 340 |
K10plus-PPN: | 1752281861 |
Verknüpfungen: | → Übergeordnete Aufnahme |
978-1-108-84247-1
Coarse geometry of topological groups / Rosendal, Christian [VerfasserIn]; 2021
68872176