This book gives a detailed exposition of some elements of dimension theory for topological spaces and dynamical systems: Cech-Lebesgue dimension, dimension of normal spaces, zero-dimensional topological spaces, dimension of polyhedra, Menger-Nöbeling embedding theorem, Gromov mean topological dimension, Jaworski embedding theorem, Lindenstrauss-Weiss StS. It is intended for graduate students, beginning, and mature 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.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in geometry and topology.

Table of Contents

• Dimension d'un espace topologique
• Espaces de dimension nulle
• Dimension des polyèdres
• Dimension et applications
• Quelques contre-exemples

• Dimension topologique moyenne
• Décalages et sous-décalages
• Plongements dans les décalages
• Bibliographie
• Index