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 classi...

Ausführliche Beschreibung

Bibliographische Detailangaben

1. Verfasser:	Ellis, D. 1958- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge Cambridge University Press 2014
Schriftenreihe:	London Mathematical Society lecture note series 412
Schlagworte:	Topological dynamics Algebraic topology Automorphisms Topologische Dynamik Äquivalenzrelation Automorphismus
Online-Zugang:	BSB01 FHN01 Volltext
Zusammenfassung:	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
Beschreibung:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Beschreibung:	1 online resource (xiv, 268 pages)
ISBN:	9781107416253
DOI:	10.1017/CBO9781107416253