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Umfang: VI, 934 S.

ISBN: 3-11-015708-X

Serie: De Gruyter series in logic and its applications 1

Sprache: Englisch

Fachgebiete: Mathematik

Schlagwort(e): Forcing ; Kontinuumshypothese

URL: Inhaltstext

Mehr zum Autor: Woodin, W. Hugh 1955-

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Umfang: 1 online resource(vi,934p.) : , illustrations.

Ausgabe: Electronic reproduction. Berlin/Boston : De Gruyter, 1999. Mode of access: World Wide Web.

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ISBN: 9783110804737

Serie: De Gruyter Series in Logic and Its Applications; 1

Anmerkung: 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.

Weitere Ausg.: ISBN 9783110157086

Sprache: Englisch

DOI: 10.1515/9783110804737

URL: https://doi.org/10.1515/9783110804737

UID:

Umfang: 1 online resource (934 p.)

Ausgabe: Reprint 2011

ISBN: 9783110804737 , 9783110637199

Serie: De Gruyter Series in Logic and Its Applications , 1

Anmerkung: 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 , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Mathematics - 1990 - 1999, De Gruyter, 9783110637199

In: E-DITION: BEST OF MATHEMATICS, De Gruyter, 9783110233957

Weitere Ausg.: ISBN 9783110157086

Sprache: Englisch

DOI: 10.1515/9783110804737

URL: https://doi.org/10.1515/9783110804737

URL: https://www.degruyter.com/isbn/9783110804737

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Umfang: 1 online resource (944 pages)

ISBN: 9783110804737 (e-book)

Serie: De Gruyter series in logic and its applications ;

Weitere Ausg.: Print version: Woodin, W. H.(W. Hugh).tAxiom of determinacy, forcing axioms, and the nonstationary ideal. Berlin : W. de Gruyter, c1999 ISBN 9783110157086

Sprache: Englisch

Schlagwort(e): Electronic books.

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Umfang: 1 online resource (944 pages)

Ausgabe: Reprint 2011

ISBN: 3-11-080473-5

Serie: De Gruyter Series in Logic and Its Applications ; 1

Anmerkung: Bibliographic Level Mode of Issuance: Monograph , 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 , Issued also in print. , English

Weitere Ausg.: ISBN 3-11-015708-X

Sprache: Englisch

DOI: 10.1515/9783110804737

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Umfang: Online-Ressource (VI, 934 S.)

ISBN: 9783110157086 (print)

Serie: De Gruyter Series in Logic and Its Applications 1

Weitere Ausg.: ISBN 9783110804737

Sprache: Englisch

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