Topological Dimension and Dynamical Systems
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 succ
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Michel Coornaert
Topological Dimension and Dynamical Systems
Universitext
Universitext Series editors Sheldon Axler San Francisco State University, San Francisco, CA, USA Vincenzo Capasso Università degli Studi di Milano, Milan, Italy Carles Casacuberta Universitat de Barcelona, Barcelona, Spain Angus MacIntyre Queen Mary University of London, London, UK Kenneth Ribet University of California, Berkeley, CA, USA Claude Sabbah CNRS École Polytechnique Centre de mathématiques, Palaiseau, France Endre Süli University of Oxford, Oxford, UK Wojbor A. Woyczyński Case Western Reserve University, Cleveland, OH, USA
Universitext is a series of textbooks that presents material from a wide variety of mathematical disciplines at master’s level and beyond. The books, often well class-tested by their author, may have an informal, personal, even experimental approach to their subject matter. Some of the most successful and established books in the series have evolved through several editions, always following the evolution of teaching curricula, into very polished texts. Thus as research topics trickle down into graduate-level teaching, first textbooks written for new, cutting-edge courses may make their way into Universitext.
More information about this series at http://www.springer.com/series/223
Michel Coornaert
Topological Dimension and Dynamical Systems
123
Michel Coornaert Institut de Recherche Mathématique Avancée University of Strasbourg Strasbourg France
ISSN 0172-5939 Universitext ISBN 978-3-319-19793-7 DOI 10.1007/978-3-319-19794-4
ISSN 2191-6675
(electronic)
ISBN 978-3-319-19794-4
(eBook)
Library of Congress Control Number: 2015941878 Mathematics Subject Classification: 54F45, 37B05, 37B10, 37B40, 54H20, 43A07 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 Translation from the French language edition: Dimension Topologique et Systèmes Dynamiques by Michel Coornaert, © Société Mathématique de France 2005. All rights reserved This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained
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