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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Geometrie Elements of Asymptotic Geometry
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Elements of Asymptotic Geometry
Sergei Buyalo, Viktor Schroeder (Unbekannter Einband, Englisch)
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Beschreibung
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local geometry does not come into play. An important class of model spaces are the hyperbolic spaces (in the sense of Gromov), for which the asymptotic geometry is nicely encoded in the boundary at infinity.
In the first part of this book, in analogy with the concepts of classical hyperbolic geometry, the… authors provide a systematic account of the basic theory of Gromov hyperbolic spaces. These spaces have been studied extensively in the last twenty years, and have found applications in group theory, geometric topology, Kleinian groups, as well as dynamics and rigidity theory. In the second part of the book, various aspects of the asymptotic geometry of arbitrary metric spaces are considered. It turns out that the boundary at infinity approach is not appropriate in the general case, but dimension theory proves useful for finding interesting results and applications.
The text leads concisely to some central aspects of the theory. Each chapter concludes with a separate section containing supplementary results and bibliographical notes. Here the theory is also illustrated with numerous examples as well as relations to the neighboring fields of comparison geometry and geometric group theory.
The book is based on lectures the authors presented at the Steklov Institute in St. Petersburg and the University of Zurich. It addressed to graduate students and researchers working in geometry, topology, and geometric group theory. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
24.05.2007
Sprache
Englisch
EAN
9783037190364
Herausgeber
EMS Press
Serien- oder Bandtitel
EMS Monographs in Mathematics
Sonderedition
Nein
Autor
Sergei Buyalo, Viktor Schroeder
Seitenanzahl
200
Auflage
1
Einbandart
Unbekannter Einband
Schlagwörter
Asymptotic geometry, Gromov hyperbolic spaces, Dimension
Thema-Inhalt
PBM - Geometrie
Höhe
235 mm
Breite
16.5 cm
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