UID:
edocfu_9959240625202883
Format:
1 online resource (944 pages)
Edition:
Reprint 2011
ISBN:
3-11-080473-5
Series Statement:
De Gruyter Series in Logic and Its Applications ; 1
Note:
Bibliographic Level Mode of Issuance: Monograph
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Frontmatter --
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1 Introduction --
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2 Preliminaries --
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3 The nonstationary ideal --
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4 The ℙmax-extension --
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5 Applications --
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6 ℙmax variations. 6.1 2ℙmax --
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6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.1 ℚmax --
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6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.2 ℚ*max --
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6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.3 2ℚmax --
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6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.4 Weak Kurepa trees and ℚmax --
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6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.5 KTℚmax --
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6 ℙmax variations. 6.2 Variations for obtaining ω1-dense ideals. 6.2.6 Null sets and the nonstationary ideal --
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6 ℙmax variations. 6.3 Nonregular ultrafilters on ω1 --
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7 Conditional variations --
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8 ♣ principles for ω1. 8.1 Condensation Principles --
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8 ♣ principles for ω1. 8.2 ℙ♣NSmax --
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8 ♣ principles for ω1. 8.3 The principles, ♣+NS and ♣++NS --
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9 Extensions of L(Γ, ℝ). 9.1 AD+ --
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9 Extensions of L(Γ, ℝ). 9.2 The ℙmax-extension of L(Γ, ℝ) --
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9 Extensions of L(Γ, ℝ). 9.3 The ℚmax-extension of L(Γ, ℝ) --
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9 Extensions of L(Γ, ℝ). 9.4 Chang's Conjecture --
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9 Extensions of L(Γ, ℝ). 9.5 Weak and Strong Reflection Principles --
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9 Extensions of L(Γ, ℝ). 9.6 Strong Chang's Conjecture --
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9 Extensions of L(Γ, ℝ). 9.7 Ideals on ω2 --
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10 Further results. 10.1 Forcing notions and large cardinals --
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10 Further results. 10.2 Coding into L(P(ω1)) --
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10 Further results. 10.3 Bounded forms of Martin's Maximum --
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10 Further results. 10.4 Ω-logic --
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10 Further results. 10.5 Ω-logic and the Continuum Hypothesis --
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10 Further results. 10.6 The Axiom (*)+ --
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10 Further results. 10.7 The Effective Singular Cardinals Hypothesis --
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11 Questions --
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Bibliography --
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Index
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Issued also in print.
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English
Additional Edition:
ISBN 3-11-015708-X
Language:
English
DOI:
10.1515/9783110804737
