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The axiom of determinacy, forcing axioms, and the nonstationary ideal / / W. Hugh Woodin



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Autore: Woodin W. H (W. Hugh) Visualizza persona
Titolo: The axiom of determinacy, forcing axioms, and the nonstationary ideal / / W. Hugh Woodin Visualizza cluster
Pubblicazione: Berlin ; ; New York : , : W. de Gruyter, , 1999
Edizione: Reprint 2011
Descrizione fisica: 1 online resource (944 pages)
Disciplina: 511.3
Soggetto topico: Forcing (Model theory)
Model theory
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references (pages [927]-929) and index.
Nota di contenuto: 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
Titolo autorizzato: The axiom of determinacy, forcing axioms, and the nonstationary ideal  Visualizza cluster
ISBN: 3-11-080473-5
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910788981403321
Lo trovi qui: Univ. Federico II
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Serie: De Gruyter series in logic and its applications ; ; 1.