Topological Dynamics
نویسندگان
چکیده
1. Dynamical embedding 1.1. Uniformly distributed sequence generators 1.2. Weak mixing relative to a partition 1.3. Construction of P-mixing transformations 1.4. Well distributed sequences 1.5. A theorem in Diophantine approximation 1.6. Disjointness in topological dynamics 1.7. Proof of Theorem 1.5.1 1.8. Quasiregular points and generic points 1.9. Normal sequences and collectives 1.10. Disjointness m ergodic theory 1.11. The theorems of Weiss, Kamae, and Rauzy 1.12. Regularity and irregularity of uniform distribution 1.13. The construction of prime flows 1.14. Interval exchange transformations 2. The structure of minimal flows 2.1. Statements of results 2.2. Generalities on flows 2.3. The functor 22.4. Almost periodic extensions 2.5. Topologies associated to minimal flows 2.6. The relativized equicontinuous structure relation 2.7. Another proximity relation 2.8. The canonical tower Appendix Bibliography Introduction. This will be a survey of recent developments in two areas of topological dynamics, "dynamical embedding" (Part 1) and the structure of minimal flows (Part 2). Part 2 contains some results published here for the first time. 1. DYNAMICAL EMBEDDING
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