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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 minim...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
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.
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| Colección: | North-Holland mathematics studies ;
153. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 122. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (xi, 265 pages) |
| Bibliografía: | Includes bibliographical references (page ix). |
| ISBN: | 9780444704535 0444704531 9780080872643 0080872646 1281793221 9781281793225 |