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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Topological Dimension and Dynamical Systems
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Topological Dimension and Dynamical Systems
Michel Coornaert (Broschiert, Englisch)
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Beschreibung
Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems into… shifts. A large number of revisions and additions have been made to the original text. Chapter 5 contains an entirely new section devoted to the Sorgenfrey line. Two chapters have also been added: Chapter 9 on amenable groups and Chapter 10 on mean topological dimension for continuous actions of countable amenable groups. These new chapters contain material that have never before appeared in textbook form. The chapter on amenable groups is based on Følner’s characterization of amenability and may be read independently from the rest of the book. Although the contents of this book lead directly to several active areas of current research in mathematics and mathematical physics, the prerequisites needed for reading it remain modest; essentially some familiarities with undergraduate point-set topology and, in order to access the final two chapters, some acquaintance with basic notions in group theory. Topological Dimension and Dynamical Systems is intended for graduate students, as well as researchers interested in topology and dynamical systems. Some of the topics treated in the book directly lead to research areas that remain to be explored. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
06.07.2015
Sprache
Englisch
EAN
9783319197937
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Universitext
Sonderedition
Nein
Autor
Michel Coornaert
Seitenanzahl
233
Einbandart
Broschiert
Autorenporträt
Professor Michel Coornaert teaches at the University of Strasbourg. He is the author of many Springer volumes including
Schlagwörter
Amenable Group, Benjamin Weiss, Covering Dimension, Dynamical Systems, Elon Lindenstrauss, Mean Topological Dimension, Misha Gromov, Shift, Subshift, Symbolic Dynamics, Topological Invariant
Thema-Inhalt
GPFC - Kybernetik und Systemtheorie
PBP - Topologie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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