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Volumn 182, Issue 3, 1996, Pages 748-755

A complete Boolean algebra that has no proper atomless complete subalgebra

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EID: 0030585633     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.0199     Document Type: Article
Times cited : (5)

References (10)
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    • Many simple cardinal invariants
    • 2. M. Goldstern and S. Shelah, Many simple cardinal invariants, Arch. Math. Logic 32 (1993), 203-221.
    • (1993) Arch. Math. Logic , vol.32 , pp. 203-221
    • Goldstern, M.1    Shelah, S.2
  • 3
    • 77956960401 scopus 로고
    • Definable sets of minimal degrees
    • Y. Bar-Hillel, Ed., North-Holland, Amsterdam
    • 3. R. B. Jensen, Definable sets of minimal degrees in "Mathematical Logic and Foundations of Set Theory" (Y. Bar-Hillel, Ed.), pp. 122-128, North-Holland, Amsterdam, 1970.
    • (1970) Mathematical Logic and Foundations of Set Theory , pp. 122-128
    • Jensen, R.B.1
  • 4
    • 0011604431 scopus 로고
    • A propos d'algèbres de Boole rigides et minimales
    • 4. T. Jech, A propos d'algèbres de Boole rigides et minimales, C. R. Acad. Sci. Paris Sér. A 274 (1972), 371-372.
    • (1972) C. R. Acad. Sci. Paris Sér. A , vol.274 , pp. 371-372
    • Jech, T.1
  • 5
    • 51249189977 scopus 로고
    • Simple complete Boolean algebras
    • 5. T. Jech, Simple complete Boolean algebras, Israel J. Math. 18 (1974), 1-10.
    • (1974) Israel J. Math. , vol.18 , pp. 1-10
    • Jech, T.1
  • 6
    • 0004289448 scopus 로고
    • Academic Press, New York
    • 6. T. Jech, "Set Theory," Academic Press, New York, 1978.
    • (1978) Set Theory
    • Jech, T.1
  • 7
    • 0000009374 scopus 로고
    • Consistency results about ordinal definability
    • 7. K. McAloon, Consistency results about ordinal definability, Ann. Math. Logic 2 (1971), 449-467.
    • (1971) Ann. Math. Logic , vol.2 , pp. 449-467
    • McAloon, K.1
  • 8
    • 0011668778 scopus 로고
    • Les algèbres de Boole rigides et minimales
    • 8. K. McAloon, Les algèbres de Boole rigides et minimales, C. R. Acad. Sci. Paris Sér. A 272 (1971), 89-91.
    • (1971) C. R. Acad. Sci. Paris Sér. A , vol.272 , pp. 89-91
    • McAloon, K.1
  • 9
    • 0001229819 scopus 로고
    • Forcing with perfect closed sets
    • "Axiomatic Set Theory" (D. Scott, Ed.), Amer. Math. Soc., Providence
    • 9. G. Sacks, Forcing with perfect closed sets, in "Axiomatic Set Theory" (D. Scott, Ed.), pp. 331-355, Proc. Symp. Pure Math., Vol. 13, I, Amer. Math. Soc., Providence, 1971.
    • (1971) Proc. Symp. Pure Math. , vol.13 , Issue.1 , pp. 331-355
    • Sacks, G.1
  • 10
    • 0000419626 scopus 로고
    • Vive la différence. I. Nonisomorphism of ultrapowers of countable models
    • H. Judah et al., Eds., MSRI, Springer-Verlag, New York/Berlin
    • 10. S. Shelah, Vive la différence. I. Nonisomorphism of ultrapowers of countable models, in "Set Theory of the Continuum" (H. Judah et al., Eds.), pp. 357-405, MSRI, Springer-Verlag, New York/Berlin, 1992.
    • (1992) Set Theory of the Continuum , pp. 357-405
    • Shelah, S.1


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