Topological dynamics

American Mathematical Society

1955

vii, 151 p.

Colloquium publications ; 36

Chapter 1. Transformation groups Chapter 2. Orbit-closure partitions Chapter 3. Recursion Chapter 4. Almost periodicity Chapter 5. Regular almost periodicity Chapter 6. Replete semigroups Chapter 7. Recurrence Chapter 8. Incompressibility Chapter 9. Transitivity Chapter 10. Asymptoticity Chapter 11. Function spaces Chapter 12. Symbolic dynamics Chapter 13. Geodesic flows of manifolds of constant negative curvature Chapter 14. Cylinder flows and a planar flow

Topological dynamics is the study of transformation groups with respect to those topological properties whose prototype occurred in classical dynamics. In this volume, Part One contains the general theory. Part Two contains notable examples of flows which have contributed to the general theory of topological dynamics and which have in turn have been illuminated by the general theory of topological dynamics

Английский