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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Topological Dimension and Dynamical Systems (Paperback, 2015 ed.)
Loot Price: R2,652
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Topological Dimension and Dynamical Systems (Paperback, 2015 ed.)
Series: Universitext
Expected to ship within 10 - 15 working days
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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 Folner'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.
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