TY - BOOK AU - Auslander,Joseph TI - Minimal flows and their extensions T2 - North-Holland mathematics studies SN - 9780444704535 AV - QA1 .N86 no. 122eb U1 - 510 22 PY - 1988/// CY - Amsterdam, New York, New York, N.Y., U.S.A. PB - North-Holland, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. KW - Minimal flows KW - Topological dynamics KW - Dynamique topologique KW - Flots minimaux KW - ram KW - fast KW - MATHEMATICS KW - Topology KW - bisacsh KW - Flot KW - Th�eor�eme Furstenberg KW - Mesure invariante KW - Topologische Dynamik KW - swd KW - Electronic books N1 - Includes bibliographical references (p. ix); 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; Electronic reproduction; [S.l.]; HathiTrust Digital Library; 2011 N2 - 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 UR - http://www.sciencedirect.com/science/book/9780444704535 UR - http://www.sciencedirect.com/science/publication?issn=03040208&volume=153 ER -