Automorphisms and Equivalence Relations in Topological Dynamics

Part I. Universal Constructions: 1. The Stone–Cech compactification βT; Appendix to Chapter 1. Ultrafilters and the construction of βT; 2. Flows and their enveloping semigroups; 3. Minimal sets and minimal right ideals; 4. Fundamental notions; 5. Quasi-factors and the circle operator; Appendix to Chapter 5. The Vietoris topology on 2^X; Part II. Equivalence Relations and Automorphisms: 6. Quotient spaces and relative products; 7. Icers on M and automorphisms of M; 8. Regular flows; 9. The quasi-relative product; Part III. The τ-Topology: 10. The τ-topology on Aut(X); 11. The derived group; 12. Quasi-factors and the τ-topology; Part IV. Subgroups of G and the Dynamics of Minimal Flows: 13. The proximal relation and the group P; 14. Distal flows and the group D; 15. Equicontinuous flows and the group E; Appendix to Chapter 15. Equicontinuity and the enveloping semigroup; 16. The regionally proximal relation; Part V. Extensions of Minimal Flows: 17. Open and highly proximal extensions; Appendix. Extremely disconnected flows; 18. Distal extensions of minimal flows; 19. Almost periodic extensions; 20. A tale of four theorems.