Dimension topologique et systèmes dynamiques / Michel Coornaert
Type de document : MonographieCollection : Cours spécialisés, 14Langue : français.Pays: France.Éditeur : Paris : Société Mathématique de France, 2005Description : 1 vol. (XIII-129 p.) ; 24 cmISBN: 9782856291771.ISSN: 1284-6090.Bibliographie : Bibliogr. p. [123]-126. Index.Sujet MSC : 54F45, General topology - Special properties of topological spaces, Dimension theory37B05, Topological dynamics, Dynamical systems involving transformations and group actions with special properties
37Bxx, Dynamical systems and ergodic theory - Topological dynamics
54A05, Generalities in topology, Topological spaces and generalizations
54E35, General topology - Topological spaces with richer structures, Metric spaces, metrizability
37B10, Topological dynamics, Symbolic dynamicsEn-ligne : Résumé
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | Séries COSP (Browse shelf(Opens below)) | Available | 08222-01 |
Notes du cours de DEA dispensé par l'auteur à l'Université Louis Pasteur de Strasbourg de février à mai 2002
Bibliogr. p. [123]-126. Index
The first part of this book deals with topological dimension. Relations of the property to have topological dimension zero to other topological notions are discussed. In the second part the mean topological dimension of a dynamical system is defined, and its properties are discussed. Some results on the mean topological dimension of certain shift spaces are presented. This book is a nice introduction to the theory of topological dimension for students, provided they are able to understand French. It is well written, and one can follow it easily. Although the book is essentially self-contained, for the second part it is useful to have some previous knowledge of dynamical systems. (Zentralblatt)
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