Für diesen Artikel ist leider kein Bild verfügbar.

Minimal Flows and Their Extensions

J. Auslander (Autor)

Buch | Hardcover

264 Seiten

1988
North-Holland (Verlag)
978-0-444-70453-5 (ISBN)

Titel ist leider vergriffen;
keine Neuauflage

Artikel merken

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.

Flows and Minimal Sets. Equicontinuous Flows. The Enveloping Semigroup of a Transformation Group, I. Joint Continuity Theorems. Distal Flows. The Enveloping Semigroup, II. The Furstenberg Structure Theorem for Distal Minimal Flows. Universal Minimal Flows and Ambits. The Equicontinuous Structure Relation and Weakly Mixing Flows. The Algebraic Theory of Minimal Flows. Disjointness. Invariant Measures on Flows. Kakutani-Bebutov Theorems. General Structure Theorems. Appendices: Nets. Uniform Spaces.

Erscheint lt. Verlag	1.7.1988
Reihe/Serie	North-Holland Mathematics Studies
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-444-70453-1 / 0444704531
ISBN-13	978-0-444-70453-5 / 9780444704535
Zustand	Neuware