Topological Dimension and Dynamical Systems

• Main Author: Coornaert, Michel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Universitext,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Topology.; Dynamical Systems and Ergodic Theory.

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 Benja...

Table of Contents:

• Topological Dimension
• Zero-Dimensional Spaces
• Topological Dimension of Polyhedra
• Dimension and Maps
• Some Classical Counterexamples
• Mean Topological Dimension for Continuous Maps
• Shifts and Subshifts over Z
• Applications of Mean Dimension to Embedding Problems
• Amenable Groups
• Mean Topological Dimension for Actions of Amenable Groups.