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Volumn 167, Issue 1, 2001, Pages 65-78

Strong compactness, measurability, and the class of supercompact cardinals

Author keywords

Non reflecting stationary set of ordinals; Strongly compact cardinal; Supercompact cardinal

Indexed keywords


EID: 0003182294     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm167-1-5     Document Type: Article
Times cited : (14)

References (19)
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  • 2
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    • _, Measurability and degrees of strong compactness, ibid. 46 (1981), 180-185.
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  • 3
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  • 4
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    • Patterns of compact cardinals
    • _, Patterns of compact cardinals, Ann. Pure Appl. Logic 89 (1997), 101-115.
    • (1997) Ann. Pure Appl. Logic , vol.89 , pp. 101-115
  • 5
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    • Identity crises and strong compactness
    • to appear
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    • J. Symbolic Logic
    • Apter, A.1    Cummings, J.2
  • 6
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    • Identity crises and strong compactness II: Strong cardinals
    • to appear
    • _, _, Identity crises and strong compactness II: strong cardinals. Arch. Math. Logic, to appear.
    • Arch. Math. Logic
  • 7
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    • On the strong equality between supercompactness and strong compactness
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  • 8
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    • Forcing
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  • 9
    • 84966200114 scopus 로고
    • A model in which GCH holds at successors but fails at limits
    • J. Cummings, A model in which GCH holds at successors but fails at limits, Trans. Amer. Math. Soc. 329 (1992), 1-39.
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  • 10
    • 0032562064 scopus 로고    scopus 로고
    • Destruction or preservation as you like it
    • J. D. Hamkins, Destruction or preservation as you like it, Ann. Pure Appl. Logic 91 (1998), 191-229.
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  • 11
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    • Gap forcing
    • to appear
    • _, Gap forcing, Israel J. Math., to appear.
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  • 12
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    • Gap forcing: Generalizing the Lévy-Solovay theorem
    • _, Gap forcing: generalizing the Lévy-Solovay theorem, Bull. Symbolic Logic 5 (1999), 264-272.
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  • 14
    • 51249180514 scopus 로고
    • Making the supercompactness of K indestructible under K-directed closed forcing
    • R. Laver, Making the supercompactness of K indestructible under K-directed closed forcing, Israel J. Math. 29 (1978), 385-388.
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  • 15
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    • Measurable cardinals and the continuum hypothesis
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  • 16
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    • How large is the first strongly compact cardinal?
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  • 17
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    • On the role of supercompact and extendible cardinals in logic
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  • 18
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  • 19
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    • Strong axioms of infinity and elementary embeddings
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.