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Volumn 48, Issue 4, 2002, Pages 499-507

Strong cardinals can be fully Laver indestructible

Author keywords

Almost huge cardinal; Indestructibility; Strong cardinal; Supercompact cardinal

Indexed keywords


EID: 0036436503     PISSN: 09425616     EISSN: None     Source Type: Journal    
DOI: 10.1002/1521-3870(200211)48:4<499::AID-MALQ499>3.0.CO;2-0     Document Type: Article
Times cited : (4)

References (14)
  • 1
    • 85010814801 scopus 로고    scopus 로고
    • Some remarks on indestructibility and Hamkins' lottery preparation
    • submitted
    • Apter, A., Some remarks on indestructibility and Hamkins' lottery preparation. Archive Math. Logic (submitted).
    • Archive Math. Logic
    • Apter, A.1
  • 2
    • 0035534322 scopus 로고    scopus 로고
    • Supercompactness and measurable limits of strong cardinals
    • Apter, A., Supercompactness and measurable limits of strong cardinals. J. Symbolic Logic 66 (2001), 629 - 639.
    • (2001) J. Symbolic Logic , vol.66 , pp. 629-639
    • Apter, A.1
  • 3
    • 0035625707 scopus 로고    scopus 로고
    • Identity crises and strong compactness II: Strong cardinals
    • Apter, A., and J. Cummings, Identity crises and strong compactness II: Strong cardinals. Archive Math. Logic 40 (2001), 25 - 38.
    • (2001) Archive Math. Logic , vol.40 , pp. 25-38
    • Apter, A.1    Cummings, J.2
  • 4
    • 0001294180 scopus 로고    scopus 로고
    • Universal indestructibility
    • After, A., and J.D. Hamkins, Universal indestructibility. Kobe J. Math. 16 (1999), 119 - 130.
    • (1999) Kobe J. Math. , vol.16 , pp. 119-130
    • After, A.1    Hamkins, J.D.2
  • 5
    • 0002847860 scopus 로고
    • On certain indestructibility of strong cardinals and a question of Hajnal
    • Gitik, M., and S. Shelah, On certain indestructibility of strong cardinals and a question of Hajnal. Archive Math. Logic 28 (1989), 35 - 42.
    • (1989) Archive Math. Logic , vol.28 , pp. 35-42
    • Gitik, M.1    Shelah, S.2
  • 6
    • 0032562064 scopus 로고    scopus 로고
    • Destruction or preservation as you like it
    • Hamkins, J.D., Destruction or preservation as you like it. Annals Pure Appl. Logic 91 (1998), 191 - 229.
    • (1998) Annals Pure Appl. Logic , vol.91 , pp. 191-229
    • Hamkins, J.D.1
  • 7
    • 0035652411 scopus 로고    scopus 로고
    • Gap forcing
    • Hamkins, J.D., Gap forcing. Israel J. Math. 125 (2001), 237 - 252.
    • (2001) Israel J. Math. , vol.125 , pp. 237-252
    • Hamkins, J.D.1
  • 8
    • 0033469080 scopus 로고    scopus 로고
    • Gap forcing: Generalizing the Lévy-Solovay Theorem
    • Hamkins, J.D., Gap forcing: Generalizing the Lévy-Solovay Theorem. Bull. Symbolic Logic 5 (1999), 264 - 272.
    • (1999) Bull. Symbolic Logic , vol.5 , pp. 264-272
    • Hamkins, J.D.1
  • 9
    • 0034598580 scopus 로고    scopus 로고
    • The lottery preparation
    • Hamkins, J.D., The lottery preparation. Annals Pure Appl. Logic 101 (2000), 103 - 146.
    • (2000) Annals Pure Appl. Logic , vol.101 , pp. 103-146
    • Hamkins, J.D.1
  • 10
    • 0004178479 scopus 로고
    • Springer-Verlag, Berlin and New York
    • Kanamori, A., The Higher Infinite, Springer-Verlag, Berlin and New York 1994.
    • (1994) The Higher Infinite
    • Kanamori, A.1
  • 11
    • 51249180514 scopus 로고
    • Making the supercompactness of κ indestructible under κ-directed closed forcing
    • Laver, R., Making the supercompactness of κ indestructible under κ-directed closed forcing. Israel J. Math. 29 (1978), 385 - 388.
    • (1978) Israel J. Math. , vol.29 , pp. 385-388
    • Laver, R.1
  • 13
    • 0001096396 scopus 로고
    • Strongly compact cardinals and the GCH
    • Proceedings of the Tarski Symposium. Amer. Math. Soc., Providence
    • Solovay, R., Strongly compact cardinals and the GCH. In: Proceedings of the Tarski Symposium. Proceedings of Symposia in Pure Mathematics 25, Amer. Math. Soc., Providence 1974, pp. 365 - 372.
    • (1974) Proceedings of Symposia in Pure Mathematics , vol.25 , pp. 365-372
    • Solovay, R.1
  • 14
    • 0002160689 scopus 로고
    • Strong axioms of infinity and elementary embeddings
    • Solovay, R., W. Reinhardt, and A. Kanamori, Strong axioms of infinity and elementary embeddings. Annals Math. Logic 13 (1978), 73 - 116.
    • (1978) Annals Math. Logic , vol.13 , pp. 73-116
    • Solovay, R.1    Reinhardt, W.2    Kanamori, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.