Minimal flows and their extensions [electronic resource] / Joseph Auslander.

By: Auslander, Joseph, 1930-Material type: Text

TextSeries: North-Holland mathematics studies ; 153. | Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 122.Publication details: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1988. Description: 1 online resource (xi, 265 p.)Content type: text Media type: computer Carrier type: online resourceISBN: 9780444704535; 0444704531; 9780080872643 (electronic bk.); 0080872646 (electronic bk.); 1281793221; 9781281793225Subject(s): Minimal flows | Topological dynamics | Dynamique topologique | Flots minimaux | Dynamique topologique | Minimal flows | Topological dynamics | MATHEMATICS -- Topology | Flot | Th�eor�eme Furstenberg | Mesure invariante | Topologische DynamikGenre/Form: Electronic books.Additional physical formats: Print version:: Minimal flows and their extensions.DDC classification: 510 | 514/.7 LOC classification: QA1 | .N86 no. 122ebQA614.82 | .A97 1988ebOther classification: SK 350 | SI 867 Online resources: ScienceDirect | Volltext

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

Action note: digitized 2011 committed to preserveSummary: 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.

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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.

Includes bibliographical references (p. ix).

Description based on print version record.

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Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

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