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The consistency with CH of some consequences of Martin’s axiom plus\(2^{\aleph _0 } > \aleph _1 \)

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Abstract

We present here a (weak) axiom which implies some of the consequences of MA, but is consistent with GCH. We use the method of Jensen in his proof of consis (ZFC+GCH+SH).

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References

  1. U. Avraham and S. Shelah,A substitution to Martin’s Axiom consistent with CH, Notes distributed in 1975.

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Authors and Affiliations

  1. The Hebrew University of Jerusalem, Jerusalem, Israel

    U. Avraham, K. J. Devlin & S. Shelah

  2. University of Lancaster, Lancaster, England

    U. Avraham, K. J. Devlin & S. Shelah

  3. The Hebrew University of Jerusalem, Jerusalem, Israel

    U. Avraham, K. J. Devlin & S. Shelah

Authors
  1. U. Avraham
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  2. K. J. Devlin
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  3. S. Shelah
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Additional information

The third author wishes to thank the United States—Israel Binational Foundation for partially supporting this research by Grant 1110.

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Avraham, U., Devlin, K.J. & Shelah, S. The consistency with CH of some consequences of Martin’s axiom plus\(2^{\aleph _0 } > \aleph _1 \) . Israel J. Math. 31, 19–33 (1978). https://doi.org/10.1007/BF02761378

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  • DOI: https://doi.org/10.1007/BF02761378

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