Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2014
|
| Series: | London Mathematical Society lecture note series
412 |
| Links: | https://doi.org/10.1017/CBO9781107416253 |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (xiv, 268 Seiten) |
| ISBN: | 9781107416253 |
Staff View
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| 100 | 1 | |a Ellis, D. |d 1958- | |
| 245 | 1 | 0 | |a Automorphisms and equivalence relations in topological dynamics |c David B. Ellis, Beloit College, Wisconsin, Robert Ellis, University of Minnesota |
| 246 | 3 | |a Automorphisms & Equivalence Relations in Topological Dynamics | |
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| spelling | Ellis, D. 1958- Automorphisms and equivalence relations in topological dynamics David B. Ellis, Beloit College, Wisconsin, Robert Ellis, University of Minnesota Automorphisms & Equivalence Relations in Topological Dynamics Cambridge Cambridge University Press 2014 1 Online-Ressource (xiv, 268 Seiten) txt c cr London Mathematical Society lecture note series 412 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. Ellis, Robert 1926- Erscheint auch als Druck-Ausgabe 9781107633223 |
| spellingShingle | Ellis, D. 1958- Automorphisms and equivalence relations in topological dynamics |
| title | Automorphisms and equivalence relations in topological dynamics |
| title_alt | Automorphisms & Equivalence Relations in Topological Dynamics |
| title_auth | Automorphisms and equivalence relations in topological dynamics |
| title_exact_search | Automorphisms and equivalence relations in topological dynamics |
| title_full | Automorphisms and equivalence relations in topological dynamics David B. Ellis, Beloit College, Wisconsin, Robert Ellis, University of Minnesota |
| title_fullStr | Automorphisms and equivalence relations in topological dynamics David B. Ellis, Beloit College, Wisconsin, Robert Ellis, University of Minnesota |
| title_full_unstemmed | Automorphisms and equivalence relations in topological dynamics David B. Ellis, Beloit College, Wisconsin, Robert Ellis, University of Minnesota |
| title_short | Automorphisms and equivalence relations in topological dynamics |
| title_sort | automorphisms and equivalence relations in topological dynamics |
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