UID:
edocfu_9958354619202883
Format:
1 online resource(vi,934p.) :
,
illustrations.
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter, 1999. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110804737
Series Statement:
De Gruyter Series in Logic and Its Applications; 1
Note:
Frontmatter --
,
1 Introduction --
,
2 Preliminaries --
,
3 The nonstationary ideal --
,
4 The ℙmax-extension --
,
5 Applications --
,
6 ℙmax variations. 6.1 2ℙmax --
,
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.1 ℚmax --
,
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.2 ℚ*max --
,
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.3 2ℚmax --
,
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.4 Weak Kurepa trees and ℚmax --
,
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.5 KTℚmax --
,
6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.6 Null sets and the nonstationary ideal --
,
6 ℙmax variations. 6.3 Nonregular ultrafilters on ω1 --
,
7 Conditional variations --
,
8 ♣ principles for ω1. 8.1 Condensation Principles --
,
8 ♣ principles for ω1. 8.2 ℙ♣NSmax --
,
8 ♣ principles for ω1. 8.3 The principles, ♣+NS and ♣++NS --
,
9 Extensions of L(Γ, ℝ). 9.1 AD+ --
,
9 Extensions of L(Γ, ℝ). 9.2 The ℙmax-extension of L(Γ, ℝ) --
,
9 Extensions of L(Γ, ℝ). 9.3 The ℚmax-extension of L(Γ, ℝ) --
,
9 Extensions of L(Γ, ℝ). 9.4 Chang’s Conjecture --
,
9 Extensions of L(Γ, ℝ). 9.5 Weak and Strong Reflection Principles --
,
9 Extensions of L(Γ, ℝ). 9.6 Strong Chang’s Conjecture --
,
9 Extensions of L(Γ, ℝ). 9.7 Ideals on ω2 --
,
10 Further results. 10.1 Forcing notions and large cardinals --
,
10 Further results. 10.2 Coding into L(P(ω1)) --
,
10 Further results. 10.3 Bounded forms of Martin’s Maximum --
,
10 Further results. 10.4 Ω-logic --
,
10 Further results. 10.5 Ω-logic and the Continuum Hypothesis --
,
10 Further results. 10.6 The Axiom (*)+ --
,
10 Further results. 10.7 The Effective Singular Cardinals Hypothesis --
,
11 Questions --
,
Bibliography --
,
Index.
,
Also available in print edition.
,
In English.
Additional Edition:
ISBN 9783110157086
Language:
English
DOI:
10.1515/9783110804737
URL:
https://doi.org/10.1515/9783110804737
