Dimension topologique et systèmes dynamiques / Michel Coornaert

Auteur: Coornaert, Michel (1955-) - AuteurType de document: MonographieCollection: Cours spécialisés ; 14Langue: françaisPays: FranceÉditeur: Paris : Société Mathématique de France, 2005Description: 1 vol. (XIII-129 p.) ; 24 cm ISBN: 9782856291771 ; br. Note: Notes du cours de DEA dispensé par l'auteur à l'Université Louis Pasteur de Strasbourg de février à mai 2002Résumé: 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).Bibliographie: Bibliogr. p. [123]-126. Index. Sujets MSC: 54F45 General topology -- Special properties -- Dimension theory
37B05 Dynamical systems and ergodic theory -- Topological dynamics -- Transformations and group actions with special properties (minimality, distality, proximality, etc.)
37Bxx Dynamical systems and ergodic theory -- Topological dynamics
54A05 General topology -- Generalities -- Topological spaces and generalizations (closure spaces, etc.)
54E35 General topology -- Spaces with richer structures -- Metric spaces, metrizability
37B10 Dynamical systems and ergodic theory -- Topological dynamics -- Symbolic dynamics
En-ligne: Résumé
Location Call Number Status Date Due
Couloir 08222-01 / Séries COSP (Browse Shelf) Available

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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