Groups And Topological Dynamics

Author : J. de Vries
Publisher : Springer Science & Business Media
ISBN 13 : 9401581711
Total Pages : 762 pages
Book Rating : 4.14/5 ( download)

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Download or read book Elements of Topological Dynamics written by J. de Vries and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ' rather than 'Introduction . . . ') does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Ele ments' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible.

Author : Jan Vries
Publisher : Walter de Gruyter
ISBN 13 : 3110342405
Total Pages : 516 pages
Book Rating : 4.06/5 ( download)

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Download or read book Topological Dynamical Systems written by Jan Vries and published by Walter de Gruyter. This book was released on 2014-01-31 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

Author : M. Bachir Bekka
Publisher : Cambridge University Press
ISBN 13 : 9780521660303
Total Pages : 214 pages
Book Rating : 4.00/5 ( download)

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Download or read book Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces written by M. Bachir Bekka and published by Cambridge University Press. This book was released on 2000-05-11 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.

Author : Walter Helbig Gottschalk
Publisher : American Mathematical Soc.
ISBN 13 : 9780821874691
Total Pages : 184 pages
Book Rating : 4.91/5 ( download)

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Download or read book Topological Dynamics written by Walter Helbig Gottschalk and published by American Mathematical Soc.. This book was released on 1955-01-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological dynamics is the study of transformation groups with respect to those topological properties whose prototype occurred in classical dynamics. In this volume, Part One contains the general theory. Part Two contains notable examples of flows which have contributed to the general theory of topological dynamics and which have in turn have been illuminated by the general theory of topological dynamics.

Author : Volodymyr Nekrashevych
Publisher :
ISBN 13 : 9781470471194
Total Pages : 0 pages
Book Rating : 4.91/5 ( download)

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Download or read book Groups and Topological Dynamics written by Volodymyr Nekrashevych and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to study symbolic dynamics, and other connections between group theory and dynamical systems. One of the main applications of this approach to group theory is the study of asymptotic properties of groups such as growth and amenability. The book presents recently developed techniques of studying groups of.

Author : Adam Clay
Publisher : American Mathematical Soc.
ISBN 13 : 1470431068
Total Pages : 154 pages
Book Rating : 4.68/5 ( download)

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Download or read book Ordered Groups and Topology written by Adam Clay and published by American Mathematical Soc.. This book was released on 2016-11-16 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, and 3-manifolds, as well as groups of homeomorphisms and other topological structures. The book also addresses recent applications of orderability in the studies of codimension-one foliations and Heegaard-Floer homology. The use of topological methods in proving algebraic results is another feature of the book. The book was written to serve both as a textbook for graduate students, containing many exercises, and as a reference for researchers in topology, algebra, and dynamical systems. A basic background in group theory and topology is the only prerequisite for the reader.

Author : Weltausstellung (1862, London)
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.10/5 ( download)

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Download or read book Official Illustrated Catalogue written by Weltausstellung (1862, London) and published by . This book was released on 1862 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Fabien Durand
Publisher : Cambridge University Press
ISBN 13 : 1108838685
Total Pages : 593 pages
Book Rating : 4.89/5 ( download)

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Download or read book Dimension Groups and Dynamical Systems written by Fabien Durand and published by Cambridge University Press. This book was released on 2022-02-03 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first self-contained exposition of the connections between symbolic dynamical systems, dimension groups and Bratteli diagrams.

Author : Mikhail Kapranov
Publisher : Springer Science & Business Media
ISBN 13 : 9783764386085
Total Pages : 742 pages
Book Rating : 4.88/5 ( download)

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Download or read book Geometry and Dynamics of Groups and Spaces written by Mikhail Kapranov and published by Springer Science & Business Media. This book was released on 2008-03-05 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.

Author : Jun Tomiyama
Publisher : World Scientific
ISBN 13 : 9789971503383
Total Pages : 180 pages
Book Rating : 4.87/5 ( download)

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Download or read book Invitation to C*-algebras and Topological Dynamics written by Jun Tomiyama and published by World Scientific. This book was released on 1987 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition on the interesting interplay between topological dynamics and the theory of C*-algebras. Researchers working in topological dynamics from various fields in mathematics are becoming more and more interested in this kind of algebraic approach of dynamics. This book is designed to present to the readers the subject in an elementary way, including also results of recent developments.