Topological Dimension and Dynamical Systems
โ Scribed by Michel Coornaert
- Publisher
- Springer
- Year
- 2015
- Tongue
- English
- Leaves
- 239
- Series
- Universitext (UTX)
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content: 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.
โฆ Subjects
Topology;Geometry & Topology;Mathematics;Science & Math;Mathematical Analysis;Mathematics;Science & Math;Mathematics;Algebra & Trigonometry;Calculus;Geometry;Statistics;Science & Mathematics;New, Used & Rental Textbooks;Specialty Boutique
๐ SIMILAR VOLUMES
<p><p>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
These lectures give a clear and unified exposition of a major area of current research on the connections between dynamics and topology, treating the fundamental problem--what dynamics can occur in a prescribed homological setting--via algebraic chain complexes derived from the unstable manifold dec
These lectures give a clear and unified exposition of a major area of current research on the connections between dynamics and topology, treating the fundamental problem--what dynamics can occur in a prescribed homological setting--via algebraic chain complexes derived from the unstable manifold dec
This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not