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Volumn 89, Issue 2-3, 1997, Pages 101-115

Patterns of compact cardinals

Author keywords

Measurable cardinal; Strongly compact cardinal; Supercompact cardinal

Indexed keywords


EID: 0001528882     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-0072(97)80001-2     Document Type: Article
Times cited : (20)

References (20)
  • 1
    • 51249186242 scopus 로고
    • On the least strongly compact cardinal
    • A. Apter, On the least strongly compact cardinal, Israel J. Math. 35 (1980) 225-233.
    • (1980) Israel J. Math. , vol.35 , pp. 225-233
    • Apter, A.1
  • 2
    • 0039118022 scopus 로고
    • Measurability and degrees of strong compactness
    • A. Apter, Measurability and degrees of strong compactness, J. Symbolic Logic 46 (1981) 180-185.
    • (1981) J. Symbolic Logic , vol.46 , pp. 180-185
    • Apter, A.1
  • 3
    • 0037955423 scopus 로고
    • On the first n strongly compact cardinals
    • A. Apter, On the first n strongly compact cardinals, Proc. Amer. Math. Soc. 123 (1995) 2229-2235.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 2229-2235
    • Apter, A.1
  • 4
    • 0040749096 scopus 로고    scopus 로고
    • Laver indestructibility and the class of compact cardinals
    • to appear
    • A. Apter, Laver indestructibility and the class of compact cardinals, J. Symbolic Logic, to appear.
    • J. Symbolic Logic
    • Apter, A.1
  • 5
    • 0042321954 scopus 로고    scopus 로고
    • More on the least strongly compact cardinal
    • to appear
    • A. Apter, More on the least strongly compact cardinal, Math. Logic Quart., to appear.
    • Math. Logic Quart.
    • Apter, A.1
  • 6
    • 0041821055 scopus 로고    scopus 로고
    • The least measurable can be strongly compact and indestructible
    • to appear
    • A. Apter, M. Gitik, The least measurable can be strongly compact and indestructible, J. Symbolic Logic, to appear.
    • J. Symbolic Logic
    • Apter, A.1    Gitik, M.2
  • 7
    • 21444455339 scopus 로고    scopus 로고
    • On the strong equality between supercompactness and strong compactness
    • A. Apter, S. Shelah, On the strong equality between supercompactness and strong compactness, Trans. AMS 349 (1997) 103-128.
    • (1997) Trans. AMS , vol.349 , pp. 103-128
    • Apter, A.1    Shelah, S.2
  • 8
    • 0042823106 scopus 로고    scopus 로고
    • Menas' result is best possible
    • to appear
    • A. Apter, S. Shelah, Menas' result is best possible, Trans. AMS, to appear.
    • Trans. AMS
    • Apter, A.1    Shelah, S.2
  • 9
    • 35349000940 scopus 로고
    • Forcing
    • J. Barwise (Ed.), North-Holland, Amsterdam
    • J. Burgess, Forcing, in: J. Barwise (Ed.), Handbook of Mathematical Logic, North-Holland, Amsterdam, 1977, pp. 403-452.
    • (1977) Handbook of Mathematical Logic , pp. 403-452
    • Burgess, J.1
  • 13
    • 0003353390 scopus 로고
    • The evolution of large cardinal axioms in set theory
    • Springer, Berlin
    • A. Kanamori, M. Magidor, The evolution of large cardinal axioms in set theory, in: Lecture Notes in Mathematics, vol. 669, Springer, Berlin, 1978, pp. 99-275.
    • (1978) Lecture Notes in Mathematics , vol.669 , pp. 99-275
    • Kanamori, A.1    Magidor, M.2
  • 15
    • 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.
    • (1978) Israel J. Math. , vol.29 , pp. 385-388
    • Laver, R.1
  • 16
    • 51249189487 scopus 로고
    • Measurable cardinals and the continuum hypothesis
    • A. Lévy, 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
  • 17
    • 51249191206 scopus 로고
    • On the role of supercompact and extendible cardinals in logic
    • M. Magidor, On the role of supercompact and extendible cardinals in logic, Israel J. Math. 10 (1971) 147-157.
    • (1971) Israel J. Math. , vol.10 , pp. 147-157
    • Magidor, M.1
  • 18
    • 0002273754 scopus 로고
    • How large is the first strongly compact cardinal?
    • M. Magidor, How large is the first strongly compact cardinal? Ann. of Math. Logic 10 (1976) 33-57.
    • (1976) Ann. of Math. Logic , vol.10 , pp. 33-57
    • Magidor, M.1
  • 19
    • 49549141110 scopus 로고
    • On strong compactness and supercompactness
    • T. Menas, On strong compactness and supercompactness, Ann. of Math. Logic 7 (1975) 327-359.
    • (1975) Ann. of Math. Logic , vol.7 , pp. 327-359
    • Menas, T.1
  • 20
    • 0002160689 scopus 로고
    • Strong axioms of infinity and elementary embeddings
    • R. Solovay, W. Reinhardt, A. Kanamori, Strong axioms of infinity and elementary embeddings, Ann. of Math. Logic 13 (1978) 73-116.
    • (1978) Ann. of 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.