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The axiom of determinacy, forcing axioms, and the nonstationary ideal [[electronic resource] /] / W. Hugh Woodin
The axiom of determinacy, forcing axioms, and the nonstationary ideal [[electronic resource] /] / W. Hugh Woodin
Autore Woodin W. H (W. Hugh)
Edizione [2nd rev. ed.]
Pubbl/distr/stampa Berlin ; ; New York, : De Gruyter, c2010
Descrizione fisica 1 online resource (858 p.)
Disciplina 511.3
Collana De Gruyter series in logic and its applications
Soggetto topico Forcing (Model theory)
Model theory
Soggetto genere / forma Electronic books.
ISBN 1-282-72287-5
9786612722875
3-11-021317-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- 1 Introduction -- 2 Preliminaries -- 3 The nonstationary ideal -- 4 The ℙmax-extension -- 5 Applications -- 6 ℙmax variations -- 7 Conditional variations -- 8 ♣ principles for ω 1 -- 9 Extensions of L(Γ, ℝ) -- 10 Further results -- 11 Questions -- Backmatter
Record Nr. UNINA-9910455565203321
Woodin W. H (W. Hugh)  
Berlin ; ; New York, : De Gruyter, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The axiom of determinacy, forcing axioms, and the nonstationary ideal [[electronic resource] /] / W. Hugh Woodin
The axiom of determinacy, forcing axioms, and the nonstationary ideal [[electronic resource] /] / W. Hugh Woodin
Autore Woodin W. H (W. Hugh)
Edizione [2nd rev. ed.]
Pubbl/distr/stampa Berlin ; ; New York, : De Gruyter, c2010
Descrizione fisica 1 online resource (858 p.)
Disciplina 511.3
Collana De Gruyter series in logic and its applications
Soggetto topico Forcing (Model theory)
Model theory
Soggetto non controllato Continuum Hypothesis
Mathematical Logic
Set Theory
ISBN 1-282-72287-5
9786612722875
3-11-021317-6
Classificazione SK 130
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- 1 Introduction -- 2 Preliminaries -- 3 The nonstationary ideal -- 4 The ℙmax-extension -- 5 Applications -- 6 ℙmax variations -- 7 Conditional variations -- 8 ♣ principles for ω 1 -- 9 Extensions of L(Γ, ℝ) -- 10 Further results -- 11 Questions -- Backmatter
Record Nr. UNINA-9910780708903321
Woodin W. H (W. Hugh)  
Berlin ; ; New York, : De Gruyter, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The axiom of determinacy, forcing axioms, and the nonstationary ideal [[electronic resource] /] / W. Hugh Woodin
The axiom of determinacy, forcing axioms, and the nonstationary ideal [[electronic resource] /] / W. Hugh Woodin
Autore Woodin W. H (W. Hugh)
Edizione [2nd rev. ed.]
Pubbl/distr/stampa Berlin ; ; New York, : De Gruyter, c2010
Descrizione fisica 1 online resource (858 p.)
Disciplina 511.3
Collana De Gruyter series in logic and its applications
Soggetto topico Forcing (Model theory)
Model theory
Soggetto non controllato Continuum Hypothesis
Mathematical Logic
Set Theory
ISBN 1-282-72287-5
9786612722875
3-11-021317-6
Classificazione SK 130
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- 1 Introduction -- 2 Preliminaries -- 3 The nonstationary ideal -- 4 The ℙmax-extension -- 5 Applications -- 6 ℙmax variations -- 7 Conditional variations -- 8 ♣ principles for ω 1 -- 9 Extensions of L(Γ, ℝ) -- 10 Further results -- 11 Questions -- Backmatter
Record Nr. UNINA-9910806265303321
Woodin W. H (W. Hugh)  
Berlin ; ; New York, : De Gruyter, c2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The axiom of determinacy, forcing axioms, and the nonstationary ideal / / W. Hugh Woodin
The axiom of determinacy, forcing axioms, and the nonstationary ideal / / W. Hugh Woodin
Autore Woodin W. H (W. Hugh)
Edizione [Reprint 2011]
Pubbl/distr/stampa Berlin ; ; New York : , : W. de Gruyter, , 1999
Descrizione fisica 1 online resource (944 pages)
Disciplina 511.3
Collana De Gruyter Series in Logic and Its Applications
De Gruyter series in logic and its applications
Soggetto topico Forcing (Model theory)
Model theory
Soggetto genere / forma Electronic books.
ISBN 3-11-080473-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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
Record Nr. UNINA-9910464264603321
Woodin W. H (W. Hugh)  
Berlin ; ; New York : , : W. de Gruyter, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The axiom of determinacy, forcing axioms, and the nonstationary ideal / / W. Hugh Woodin
The axiom of determinacy, forcing axioms, and the nonstationary ideal / / W. Hugh Woodin
Autore Woodin W. H (W. Hugh)
Edizione [Reprint 2011]
Pubbl/distr/stampa Berlin ; ; New York : , : W. de Gruyter, , 1999
Descrizione fisica 1 online resource (944 pages)
Disciplina 511.3
Collana De Gruyter Series in Logic and Its Applications
De Gruyter series in logic and its applications
Soggetto topico Forcing (Model theory)
Model theory
ISBN 3-11-080473-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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
Record Nr. UNINA-9910788981403321
Woodin W. H (W. Hugh)  
Berlin ; ; New York : , : W. de Gruyter, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The axiom of determinacy, forcing axioms, and the nonstationary ideal / / W. Hugh Woodin
The axiom of determinacy, forcing axioms, and the nonstationary ideal / / W. Hugh Woodin
Autore Woodin W. H (W. Hugh)
Edizione [Reprint 2011]
Pubbl/distr/stampa Berlin ; ; New York : , : W. de Gruyter, , 1999
Descrizione fisica 1 online resource (944 pages)
Disciplina 511.3
Collana De Gruyter Series in Logic and Its Applications
De Gruyter series in logic and its applications
Soggetto topico Forcing (Model theory)
Model theory
ISBN 3-11-080473-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
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
Record Nr. UNINA-9910825023503321
Woodin W. H (W. Hugh)  
Berlin ; ; New York : , : W. de Gruyter, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui