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Viser: Classical Descriptive Set Theory
Classical Descriptive Set Theory
(2022)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- 1. Udgave
- Udgiver: (April 2022)
- ISBN: 9780387943749
1. Topological and Metric Spaces.-
2. Trees.-
3. Polish Spaces.-
4. Compact Metrizable Spaces.-
5. Locally Compact Spaces.-
6. Perfect Polish Spaces.-
7.Zero-dimensional Spaces.-
8. Baire Category.-
9. Polish Groups.- II Borel Sets.-
10. Measurable Spaces and Functions.-
11. Borel Sets and Functions.-
12. Standard Borel Spaces.-
13. Borel Sets as Clopen Sets.-
14. Analytic Sets and the Separation Theorem.-
15. Borel Injections and Isomorphisms.-
16. Borel Sets and Baire Category.-
17. Borel Sets and Measures.-
18. Uniformization Theorems.-
19. Partition Theorems.-
20. Borel Determinacy.-
21. Games People Play.-
22. The Borel Hierarchy.-
23. Some Examples.-
24. The Baire Hierarchy.- III Analytic Sets.-
25. Representations of Analytic Sets.-
26. Universal and Complete Sets.-
27. Examples.-
28. Separation Theorems.-
29. Regularity Properties.-
30. Capacities.-
31. Analytic Well-founded Relations.- IV Co-Analytic Sets.-
32. Review.-
33. Examples.-
34. Co-Analytic Ranks.-
35. Rank Theory.-
36. Scales and Uniformiiatiou.- V Projective Sets.-
37. The Projective Hierarchy.-
38. Projective Determinacy.-
39. The Periodicity Theorems.-
40. Epilogue.- Appendix A. Ordinals and Cardinals.- Appendix B. Well-founded Relations.- Appendix C. On Logical Notation.- Notes and Hints.- References.- Symbols and Abbreviations.