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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Automorphisms and Equivalence Relations in Topological Dynamics

Automorphisms and Equivalence Relations in Topological Dynamics

Ellis, David B.
Ellis, Robert

Paperback

Series: London Mathematical Society Lecture Note, Book 412

AlgebraGeneral Mathematics

ISBN10: 1107633222
ISBN13: 9781107633223
Publisher: Cambridge University Press
Published: Jun 5 2014
Pages: 281
Weight: 0.95
Height: 0.70 Width: 5.90 Depth: 8.90
Language: English
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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