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Volumn 177, Issue 1, 2003, Pages 45-54

Indestructibility, strongness, and level by level equivalence

Author keywords

Level by level equivalence between strong compactness and supercompactness; Strong cardinal; Strongly compact cardinal; Supercompact cardinal

Indexed keywords


EID: 0041411194     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm177-1-3     Document Type: Article
Times cited : (3)

References (14)
  • 1
    • 0344120295 scopus 로고    scopus 로고
    • Some remarks on indestructibility and Hamkins' lottery preparation
    • to appear
    • A. Apter, Some remarks on indestructibility and Hamkins' lottery preparation, Arch. Math. Logic, to appear.
    • Arch. Math. Logic
    • Apter, A.1
  • 2
    • 0035625707 scopus 로고    scopus 로고
    • Identity crises and strong compactness II: Strong cardinals
    • A. Apter and J. Cummings, Identity crises and strong compactness II: strong cardinals, Arch. Math. Logic 40 (2001), 25-38.
    • (2001) Arch. Math. Logic , vol.40 , pp. 25-38
    • Apter, A.1    Cummings, J.2
  • 3
    • 0036017431 scopus 로고    scopus 로고
    • Indestructibility and the level-by-level agreement between strong compactness and supercompactness
    • A. Apter and J. D. Hamkins, Indestructibility and the level-by-level agreement between strong compactness and supercompactness, J. Symbolic Logic 67 (2002), 820-840.
    • (2002) J. Symbolic Logic , vol.67 , pp. 820-840
    • Apter, A.1    Hamkins, J.D.2
  • 4
    • 21444455339 scopus 로고    scopus 로고
    • On the strong equality between supercompactness and strong compactness
    • A. Apter and S. Shelah, On the strong equality between supercompactness and strong compactness, Trans. Amer. Math. Soc. 349 (1997), 103-128.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 103-128
    • Apter, A.1    Shelah, S.2
  • 5
    • 0002847860 scopus 로고
    • On certain indestructibility of strong cardinals and a question of Hajnal
    • M. Gitik and S. Shelah, On certain indestructibility of strong cardinals and a question of Hajnal, Arch. Math. Logic 28 (1989), 35-42.
    • (1989) Arch. Math. Logic , vol.28 , pp. 35-42
    • Gitik, M.1    Shelah, S.2
  • 7
    • 0032562064 scopus 로고    scopus 로고
    • Destruction or preservation as you like it
    • _, Destruction or preservation as you like it, Ann. Pure Appl. Logic 91 (1998), 191-229.
    • (1998) Ann. Pure Appl. Logic , vol.91 , pp. 191-229
  • 8
    • 0035652411 scopus 로고    scopus 로고
    • Gap forcing
    • _, Gap forcing, Israel J. Math. 125 (2001), 237-252.
    • (2001) Israel J. Math. , vol.125 , pp. 237-252
  • 9
    • 0033469080 scopus 로고    scopus 로고
    • Gap forcing: Generalizing the Lévy-Solovay theorem
    • _, Gap forcing: generalizing the Lévy-Solovay theorem, Bull. Symbolic Logic 5 (1999), 264-272.
    • (1999) Bull. Symbolic Logic , vol.5 , pp. 264-272
  • 10
    • 0034598580 scopus 로고    scopus 로고
    • The lottery preparation
    • _, The lottery preparation, Ann. Pure Appl. Logic 101 (2000), 103-146.
    • (2000) Ann. Pure Appl. Logic , vol.101 , pp. 103-146
  • 12
    • 0013538564 scopus 로고
    • Strong compactness and other cardinal sins
    • J. Ketonen, Strong compactness and other cardinal sins, Ann. Math. Logic 5 (1972), 47-76.
    • (1972) Ann. Math. Logic , vol.5 , pp. 47-76
    • Ketonen, J.1
  • 13
    • 51249180514 scopus 로고
    • Making the supercompactness of κ indestructible under κ-directed closed forcing
    • R. Laver, 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
  • 14
    • 51249189487 scopus 로고
    • Measurable cardinals and the continuum hypothesis
    • A. Lévy and R. Solovay, Measurable cardinals and the continuum hypothesis, Israel J. Math. 5 (1967), 234-248.
    • (1967) Israel J. Math. , vol.5 , pp. 234-248
    • Lévy, A.1    Solovay, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.