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)
![]() |
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Berlin ; ; New York, : De Gruyter, c2010 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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