Minimal flows and their extensions
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…
Read More ↓Title Statements
- Full title :Minimal flows and their extensions / Joseph Auslander.
Summary
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, which is a kind of independence condition. Among the topics unique to this book are a proof of the Ellis ``joint continuity theorem'', a characterization of the equicontinuous structure relation, and the aforementioned structure theorem for minimal flows.
Read More ↓Edition Statements
- Publication Date:1988.
Publication Statements
- Publisher(s):North-Holland, Sole distributors for the USA and Canada, Elsevier Science Pub. Co
- Place of Publication:Amsterdam
- Language:eng
- Publication Date:1988.
The Physical Object
- Description:1 online resource (xi, 265 pages)
Edition Identifiers
- ISBN:9780444704535, 0444704531, 9780080872643, 0080872646, 1281793221, 9781281793225
- oclc:ocn316549606
- LC Classification:QA614.82
- Dewey Decimal:514/.7
Table of Contents
Front Cover; Minimal Flows and Their Extensions; Copyright Page; Introduction; Bibliography; Contents; 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.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Mathematical notes
Harmonic maps
Topological modular forms
Files & Downloads
-
Minimal Flows and their Extensions -- (.pdf)
PDF · 8.0 MB · updated -
Minimal Flows and Their Extensions -- (.djvu)
DJVU · 1.4 MB · updated
Rate & Review