Automorphisms and Equivalence Relations in Topological Dynamics

- Series Number 412: Automorphisms and Equivalence Relations in Topological Dynamics

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indgår i serie LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES


Automorphisms and Equivalence Relations in Topological Dynamics
  • Leveringstid 4-7 hverdage
  • Forventet levering 03-12-2019
Format:
Bog, paperback
Udgivelsesdato:
05-06-2014
Sprog:
Engelsk
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  • Yderligere info
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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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Udgivelsesdato:
05-06-2014
ISBN13:
9781107633223
Vægt:
420 g
Dybde:
16 mm
Bredde:
152 mm
Højde:
229 mm
Nummer i serien:
412
Nummer i serien:
412
Format:
Paperback
  • Forfattere

  • Bibliotekernes beskrivelse

    An original and self-contained treatment of some key ideas in the abstract theory of topological dynamics, focussing on the role of automorphisms and equivalence relations. This approach leads to simpler proofs of classical results and provides motivation for further study, making this lucid book ideal for graduate students and researchers. Worked examples or Exercises

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