Description: Topological Dimension and Dynamical Systems, Paperback by Coornaert, Michel, ISBN 3319197932, ISBN-13 9783319197937, Like New Used, Free shipping in the US
Translated from the popular French edition, the goal of th is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. Th examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems into shifts.
A large number of revisions and additions have been made to the original text. Chapter 5 contains an entirely new section devoted to the Sorgenfrey line. Two chapters have also been added: Chapter 9 on amenable groups and Chapter 10 on mean topological dimension for continuous actions of countable amenable groups. These new chapters contain material that have never before appeared in textbook form. The chapter on amenable groups is based on Flner’s characterization of amenability and may be read independently from the rest of th.
Although the contents of this book lead directly to several active areas of current research in mathematics and mathematical physics, the prerequisites needed for reading it remain modest; essentially some familiarities with undergraduate point-set topology and, in order to access the final two chapters, some acquaintance with basic notions in group theory. Topological Dimension and Dynamical Systems is intended for graduate students, as well as researchers interested in topology and dynamical systems. Some of the topics treated in th directly lead to research areas that remain to be explored.
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Book Title: Topological Dimension and Dynamical Systems
Number of Pages: Xv, 233 Pages
Publication Name: Topological Dimension and Dynamical Systems
Language: English
Publisher: Springer International Publishing A&G
Subject: Differential Equations / General, System Theory, Topology, Mathematical Analysis
Publication Year: 2015
Type: Textbook
Item Weight: 152.6 Oz
Item Length: 9.3 in
Author: Michel Coornaert
Subject Area: Mathematics, Science
Item Width: 6.1 in
Series: Universitext Ser.
Format: Trade Paperback