Automorphisms and Equivalence Relations in Topological Dynamics (London Mathematical Society Lecture Note Series, Series Number 412)

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Automorphisms and Equivalence Relations in Topological Dynamics (London Mathematical Society Lecture Note Series, Series Number 412) image
ISBN-10:

1107633222

ISBN-13:

9781107633223

Edition: 1
Released: Aug 11, 2014
Format: Paperback, 281 pages
Related ISBN: 9781139950800

Description:

Focusing on the role that automorphisms and equivalence relations play in the algebraic theory of minimal sets provides an original treatment of some key aspects of abstract topological dynamics. Such an approach is presented in this lucid and self-contained book, leading to simpler proofs of classical results, as well as providing motivation for further study. Minimal flows on compact Hausdorff spaces are studied as icers on the universal minimal flow M. The group of the icer representing a minimal flow is defined as a subgroup of the automorphism group G of M, and icers are constructed explicitly as relative products using subgroups of G. Many classical results are then obtained by examining the structure of the icers on M, including a proof of the Furstenberg structure theorem for distal extensions. This book is designed as both a guide for graduate students, and a source of interesting new ideas for researchers.

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