| 《高阶无限》 introduction 0. preliminaries chapter 1. beginnings 1. inaccessibility 2. measurability 3. const. mctibility 4. compactness 5. elementary embeddings 6. indescribability chapter 2. partition properties 7. partitions and trees 8. partitions and structures 9. indiscemibles and 0# chapter 3. forcing and sets of reals 10. development of forcing 11. lebesgue measurability 12. descriptive set theory 13. sets and sets 14. sets and sharps .15. sharps and sets chapter 4. aspects of measurability 16. saturated ideals i 17. saturated ideals ii 18. prikry forcing 19. iterated ultrapowers 20. inner models of measurability 21. embeddings, 0#, and 0 chapter 5. strong hypotheses 22. supercompactness 23. extendibility to inconsistency 24. the strongest hypotheses 25. combinatorics of pky 26. extenders chapter 6. determinacy 27. infinite games 28. ad and combinatorics 29. prewellorderings 30. scales and projective ordinals 31. det 32. consistency of ad chart of cardinals appendix indexed references subject index |
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