Overview

This groundbreaking volume is the first to elaborate the theory of set families as a tool for studying the phenomenon of recurrence. The theory is implicit in such seminal works as Hillel Furstenberg's Recurrence in Ergodic Theory and Combinational Number Theory, but Ethan Akin's study elaborates it in detail, defining such elements of theory as: open families of special subsets the unification of several ideas associated with transitivity, ergodicity, and mixing the Ellis theory of enveloping semigroups for compact dynamical systems and new notions of equicontinuity, distality, and rigidity.

Full Product Details

Author:   Ethan Akin
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 1997
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9781441932723

ISBN 10:   1441932720
Pages:   266
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

1. Monoid Actions.- 2. Furstenberg Families.- 3. Recurrence.- 4. Transitive and Central Systems.- 5. Compactifications.- 6. Ellis Semigroups and Ellis Actions.- 7. Semigroups and Families.- 8. Equicontinuity.- Appendix. Semicontinuous Relations and Almost Open Maps.- References.

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