메뉴 건너뛰기




Volumn 65, Issue 4, 2000, Pages 1895-1910

Identity crises and strong compactness

Author keywords

Identity crisis; Measurable cardinal; Reverse Easton iteration; Strongly compact cardinal; Supercompact cardinal

Indexed keywords


EID: 0034557612     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2307/2695085     Document Type: Article
Times cited : (30)

References (24)
  • 1
    • 0007553397 scopus 로고
    • Some results on consecutive large cardinals
    • ARTHUR W. AFTER, Some results on consecutive large cardinals, Annals of Pure and Applied Logic, vol. 25 (1983), pp. 1-17.
    • (1983) Annals of Pure and Applied Logic , vol.25 , pp. 1-17
    • After, A.W.1
  • 2
    • 0037955423 scopus 로고
    • On the first n strongly compact cardinals
    • _, On the first n strongly compact cardinals, Proceedings of the American Mathematical Society, vol. 123 (1995), pp. 2229-2235.
    • (1995) Proceedings of the American Mathematical Society , vol.123 , pp. 2229-2235
  • 3
    • 0031496139 scopus 로고    scopus 로고
    • More on the least strongly compact cardinal
    • _, More on the least strongly compact cardinal, Mathematical Logic Quarterly, vol. 43 (1997), pp. 427-430.
    • (1997) Mathematical Logic Quarterly , vol.43 , pp. 427-430
  • 4
    • 0001528882 scopus 로고    scopus 로고
    • Patterns of compact cardinals
    • _, Patterns of compact cardinals, Annals of Pure and Applied Logic, vol. 89 (1997), pp. 101-115.
    • (1997) Annals of Pure and Applied Logic , vol.89 , pp. 101-115
  • 8
    • 21444455339 scopus 로고    scopus 로고
    • On the strong equality between supercompactness and strong compactness
    • _, On the strong equality between supercompactness and strong compactness, Transactions of the American Mathematical Society, vol. 349 (1997), pp. 103-128.
    • (1997) Transactions of the American Mathematical Society , vol.349 , pp. 103-128
  • 9
    • 35349000940 scopus 로고
    • Forcing
    • J. Barwise, editor, North-Holland, Amsterdam
    • J. BURGESS, Forcing, Handbook of Mathematical Logic (J. Barwise, editor), North-Holland, Amsterdam, 1977, pp. 403-452.
    • (1977) Handbook of Mathematical Logic , pp. 403-452
    • Burgess, J.1
  • 12
    • 84966200114 scopus 로고
    • A model in which GCH holds at successors but fails at limits
    • JAMES CUMMINGS, A model in which GCH holds at successors but fails at limits, Transactions of the American Mathematical Society, vol. 329 (1992), pp. 1-39.
    • (1992) Transactions of the American Mathematical Society , vol.329 , pp. 1-39
    • Cummings, J.1
  • 15
    • 0004289448 scopus 로고
    • Academic Press, New York
    • T. JECH, Set theory, Academic Press, New York, 1978.
    • (1978) Set Theory
    • Jech, T.1
  • 17
    • 0003353390 scopus 로고
    • The evolution of large cardinal axioms in set theory
    • Springer-Verlag, Berlin
    • A. KANAMORI and M. MAGIDOR, The evolution of large cardinal axioms in set theory, Lecture notes in mathematics 669, Springer-Verlag, Berlin, 1978, pp. 99-275.
    • (1978) Lecture Notes in Mathematics , vol.669 , pp. 99-275
    • Kanamori, A.1    Magidor, M.2
  • 19
    • 51249180514 scopus 로고
    • Making the supercompactness of κ indestructible under κ-directed closed forcing
    • RICHARD LAVER, Making the supercompactness of κ indestructible under κ-directed closed forcing, Israel Journal of Mathematics, vol. 29 (1978), pp. 385-388.
    • (1978) Israel Journal of Mathematics , vol.29 , pp. 385-388
    • Laver, R.1
  • 20
    • 51249189487 scopus 로고
    • Measurable cardinals and the continuum hypothesis
    • A. LÉVY and R. M. SOLOVAY, Measurable cardinals and the continuum hypothesis, Israel Journal of Mathematics, vol. 5 (1967), pp. 234-248.
    • (1967) Israel Journal of Mathematics , vol.5 , pp. 234-248
    • Lévy, A.1    Solovay, R.M.2
  • 21
    • 0002273754 scopus 로고
    • How large is the first strongly compact cardinal?
    • MENACHEM MAGIDOR, How large is the first strongly compact cardinal?, Annals of Mathematical Logic, vol. 10 (1976), pp. 33-57.
    • (1976) Annals of Mathematical Logic , vol.10 , pp. 33-57
    • Magidor, M.1
  • 23
    • 49549141110 scopus 로고
    • On strong compactness and supercompactness
    • TELIS K. MENAS, On strong compactness and supercompactness, Annals of Mathematical Logic, vol. 7 (1974), pp. 327-359.
    • (1974) Annals of Mathematical Logic , vol.7 , pp. 327-359
    • Menas, T.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.