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Volumn 51, Issue 5, 2005, Pages 493-498

The Necessary Maximality Principle for c. c. c. forcing is equiconsistent with a weakly compact cardinal

Author keywords

ccc forcing; Forcing axiom; Weakly compact cardinal

Indexed keywords


EID: 24944520098     PISSN: 09425616     EISSN: None     Source Type: Journal    
DOI: 10.1002/malq.200410045     Document Type: Article
Times cited : (16)

References (8)
  • 3
    • 0038509967 scopus 로고    scopus 로고
    • A simple maximality principle
    • J. D. Hamkins, A simple maximality principle. J. Symbolic Logic 68 (2), 527-550 (2003).
    • (2003) J. Symbolic Logic , vol.68 , Issue.2 , pp. 527-550
    • Hamkins, J.D.1
  • 4
    • 84972540598 scopus 로고
    • Some exact equiconsistency results in set theory
    • L. Harrington and S. Shelah, Some exact equiconsistency results in set theory. Notre Dame J. Formal Logic 26, 178-188 (1985).
    • (1985) Notre Dame J. Formal Logic , vol.26 , pp. 178-188
    • Harrington, L.1    Shelah, S.2
  • 5
    • 0141631548 scopus 로고    scopus 로고
    • Springer Monographs in Mathematics (Springer, Berlin)
    • T. Jech, Set Theory, 3rd ed. Springer Monographs in Mathematics (Springer, Berlin 2003).
    • (2003) Set Theory, 3rd Ed.
    • Jech, T.1
  • 7
    • 24944549848 scopus 로고    scopus 로고
    • Forcing axioms and projective sets of reals
    • Proceedings of the Foundations of the Formal Sciences III: Complexity in Mathematics and Computer Science Classical and New Paradigms of Computation and their Complexity Hierarchies (B. Löwe, B. Piwinger, and T. Räsch, eds.) (Kluwer Academic Publishers, Dordrecht)
    • R. Schindler, Forcing axioms and projective sets of reals. In: Proceedings of the Foundations of the Formal Sciences III: Complexity in Mathematics and Computer Science. Classical and New Paradigms of Computation and their Complexity Hierarchies, Trends in Logic 23 (B. Löwe, B. Piwinger, and T. Räsch, eds.), pp. 207 - 222 (Kluwer Academic Publishers, Dordrecht 2004).
    • (2004) Trends in Logic , vol.23 , pp. 207-222
    • Schindler, R.1
  • 8
    • 0038631768 scopus 로고    scopus 로고
    • Reflection principles for the continuum
    • Logic and Algebra
    • J. Stavi and J. Väänänen, Reflection principles for the continuum. In: Logic and Algebra, AMS Contemporary Mathematics 302, pp. 59-84 (2001).
    • (2001) AMS Contemporary Mathematics , vol.302 , pp. 59-84
    • Stavi, J.1    Väänänen, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.