UID:
almahu_9947367760202882
Format:
1 online resource (279 p.)
ISBN:
1-281-79322-1
,
9786611793227
,
0-08-087264-6
Series Statement:
North-Holland mathematics studies ; 153
Content:
This monograph presents developments in the abstract theory of topological dynamics, concentrating on the internal structure of minimal flows (actions of groups on compact Hausdorff spaces for which every orbit is dense) and their homomorphisms (continuous equivariant maps). Various classes of minimal flows (equicontinuous, distal, point distal) are intensively studied, and a general structure theorem is obtained. Another theme is the ``universal'' approach - entire classes of minimal flows are studied, rather than flows in isolation. This leads to the consideration of disjointness of flows,
Note:
Description based upon print version of record.
,
Front Cover; Minimal Flows and Their Extensions; Copyright Page; Contents; Introduction; Bibliography; Chapter 1. Flows and Minimal Sets; Chapter 2. Equicontinuous Flows; Chapter 3. The Enveloping Semigroup of a Transformation Group, I; Chapter 4. Joint Continuity Theorems; Chapter 5. Distal Flows; Chapter 6. The Enveloping Semigroup, II; Chapter 7. The Furstenberg Structure Theorem for Distal Minimal Flows; Chapter 8. Universal Minimal Flows and Ambits; Chapter 9. The Equicontinuous Structure Relation and Weakly Mixing Flows; Chapter 10. The Algebraic Theory of Minimal Flows
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Chapter 11. DisjointnessChapter 12. Invariant Measures on Flows; Chapter 13. Kakutani-Bebutov Theorems; Chapter 14. General Structure Theorems; Appendix I Nets; Appendix ll Uniform Spaces
,
English
Additional Edition:
ISBN 0-444-70453-1
Language:
English
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