Automorphisms and Equivalence Relations in Topological Dynamics: London Mathematical Society Lecture Note Series, cartea 412
Autor David B. Ellis, Robert Ellisen Limba Engleză Paperback – 4 iun 2014
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Specificații
ISBN-13: 9781107633223
ISBN-10: 1107633222
Pagini: 281
Ilustrații: 80 exercises
Dimensiuni: 152 x 229 x 16 mm
Greutate: 0.43 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series
Locul publicării:New York, United States
ISBN-10: 1107633222
Pagini: 281
Ilustrații: 80 exercises
Dimensiuni: 152 x 229 x 16 mm
Greutate: 0.43 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series
Locul publicării:New York, United States
Cuprins
Part I. Universal Constructions: 1. The Stone–Cech compactification βT; Appendix to Chapter 1. Ultrafilters and the construction of βT; 2. Flows and their enveloping semigroups; 3. Minimal sets and minimal right ideals; 4. Fundamental notions; 5. Quasi-factors and the circle operator; Appendix to Chapter 5. The Vietoris topology on 2^X; Part II. Equivalence Relations and Automorphisms: 6. Quotient spaces and relative products; 7. Icers on M and automorphisms of M; 8. Regular flows; 9. The quasi-relative product; Part III. The τ-Topology: 10. The τ-topology on Aut(X); 11. The derived group; 12. Quasi-factors and the τ-topology; Part IV. Subgroups of G and the Dynamics of Minimal Flows: 13. The proximal relation and the group P; 14. Distal flows and the group D; 15. Equicontinuous flows and the group E; Appendix to Chapter 15. Equicontinuity and the enveloping semigroup; 16. The regionally proximal relation; Part V. Extensions of Minimal Flows: 17. Open and highly proximal extensions; Appendix. Extremely disconnected flows; 18. Distal extensions of minimal flows; 19. Almost periodic extensions; 20. A tale of four theorems.
Notă biografică
Descriere
A lucid and self-contained treatment of many key ideas in topological dynamics, achieved by focusing on equivalence relations and automorphisms.