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The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal
edited_book
Author(s):
W. Hugh Woodin
Publication date
(Online):
December 31 1999
Publisher:
De Gruyter
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Book
ISBN (Print):
9783110157086
Publication date (Print):
December 31 1999
Publication date (Online):
December 31 1999
DOI:
10.1515/9783110804737
SO-VID:
1fa31125-17f5-41f0-8ddf-3a4a98320769
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Book chapters
pp. I
Frontmatter
pp. 1
1 Introduction
pp. 18
2 Preliminaries
pp. 48
3 The nonstationary ideal
pp. 115
4 The ℙmax-extension
pp. 184
5 Applications
pp. 291
6 ℙmax variations. 6.1 2ℙmax
pp. 310
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.1 ℚmax
pp. 338
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.2 ℚ*max
pp. 374
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.3 2ℚmax
pp. 381
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.4 Weak Kurepa trees and ℚmax
pp. 388
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.5 KTℚmax
pp. 409
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.6 Null sets and the nonstationary ideal
pp. 427
6 ℙmax variations. 6.3 Nonregular ultrafilters on ω1
pp. 432
7 Conditional variations
pp. 498
8 ♣ principles for ω1. 8.1 Condensation Principles
pp. 507
8 ♣ principles for ω1. 8.2 ℙ♣NSmax
pp. 585
8 ♣ principles for ω1. 8.3 The principles, ♣+NS and ♣++NS
pp. 617
9 Extensions of L(Γ, ℝ). 9.1 AD+
pp. 626
9 Extensions of L(Γ, ℝ). 9.2 The ℙmax-extension of L(Γ, ℝ)
pp. 646
9 Extensions of L(Γ, ℝ). 9.3 The ℚmax-extension of L(Γ, ℝ)
pp. 649
9 Extensions of L(Γ, ℝ). 9.4 Chang’s Conjecture
pp. 664
9 Extensions of L(Γ, ℝ). 9.5 Weak and Strong Reflection Principles
pp. 680
9 Extensions of L(Γ, ℝ). 9.6 Strong Chang’s Conjecture
pp. 697
9 Extensions of L(Γ, ℝ). 9.7 Ideals on ω2
pp. 769
10 Further results. 10.1 Forcing notions and large cardinals
pp. 776
10 Further results. 10.2 Coding into L(P(ω1))
pp. 862
10 Further results. 10.3 Bounded forms of Martin’s Maximum
pp. 886
10 Further results. 10.4 Ω-logic
pp. 894
10 Further results. 10.5 Ω-logic and the Continuum Hypothesis
pp. 908
10 Further results. 10.6 The Axiom (*)+
pp. 916
10 Further results. 10.7 The Effective Singular Cardinals Hypothesis
pp. 921
11 Questions
pp. 927
Bibliography
pp. 931
Index
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