Automorphisms and Equivalence Relations in Topological Dynamics

Name: Automorphisms and Equivalence Relations in Topological Dynamics
Brand: Cambridge University Press
SKU: 9781107633223
Price: 408.34 RON
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Autor: David B. Ellis, Robert Ellis

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Editura: Cambridge University Press

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Focusing on the role that automorphisms and equivalence relations play in the algebraic theory of mi...

Informații despre carte

Autor

David B. Ellis, Robert Ellis

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2014

Pagini

281

EAN

9781107633223

ISBN

1107633222

Enbook ID

02232146

Editura

Cambridge University Press

Greutate

428

Dimensiuni

152 x 228 x 16

Descriere completă

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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Automorphisms and Equivalence Relations in Topological Dynamics

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