Topological Dimension and Dynamical Systems

Nonfiction, Science & Nature, Mathematics, Topology, Mathematical Analysis
Cover of the book Topological Dimension and Dynamical Systems by Michel Coornaert, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Michel Coornaert ISBN: 9783319197944
Publisher: Springer International Publishing Publication: June 20, 2015
Imprint: Springer Language: English
Author: Michel Coornaert
ISBN: 9783319197944
Publisher: Springer International Publishing
Publication: June 20, 2015
Imprint: Springer
Language: English

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 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 Følner’s characterization of amenability and may be read independently from the rest of the book.

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 the book directly lead to research areas that remain to be explored.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 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 Følner’s characterization of amenability and may be read independently from the rest of the book.

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 the book directly lead to research areas that remain to be explored.

More books from Springer International Publishing

Cover of the book Corruption and Governance in Africa by Michel Coornaert
Cover of the book Methods and Experimental Techniques in Computer Engineering by Michel Coornaert
Cover of the book Restorative Justice in India by Michel Coornaert
Cover of the book Web Information Systems Engineering – WISE 2015 by Michel Coornaert
Cover of the book The Median Nerve by Michel Coornaert
Cover of the book The DARPA Robotics Challenge Finals: Humanoid Robots To The Rescue by Michel Coornaert
Cover of the book Intelligent Envelopes for High-Performance Buildings by Michel Coornaert
Cover of the book Reducing Mortality in Critically Ill Patients by Michel Coornaert
Cover of the book Tracking the Literature of Tropical Weather by Michel Coornaert
Cover of the book Mathematical and Computational Approaches in Advancing Modern Science and Engineering by Michel Coornaert
Cover of the book Ethical Literacies and Education for Sustainable Development by Michel Coornaert
Cover of the book Christianity, Plasticity, and Spectral Heritages by Michel Coornaert
Cover of the book The Changing Academic Profession in Hong Kong by Michel Coornaert
Cover of the book The Tree of Knowledge by Michel Coornaert
Cover of the book Happiness is the Wrong Metric by Michel Coornaert
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy