Using Βs in Combinatorics and Dynamical Systems (survey)
نویسنده
چکیده
1. Basic properties of ultrafilters 2. Applications of ultrafilters. The space βS 3. Semigroups: basic facts and examples 4. βS as a semigroup 5. Hindman’s finite sums theorem 6. Semigroups: ideals and minimal idempotents 7. The Hales-Jewett theorem 8. Large sets: thick, central, IP-, and syndetic sets 9. Large sets: piecewise syndetic sets 10. Dynamical systems: basic notions 11. βS as a dynamical system 12. Recurrent and uniformly recurrent points 13. Proximality in dynamical systems 14. Multiple recurrent points 15. Some diophantine approximation
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تاریخ انتشار 2012