Abstract
We prove the consistency with ZFC+G.C.H. of an assertion, which implies several consequences of\(MA + 2^{\aleph _0 } > \aleph _1 \), which\(\diamondsuit \aleph _1 \) implies their negation.
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The author would like to thank the United States-Israel Binational Science Foundation for partially supporting this research by grant 1110.
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Shelah, S. Whitehead groups may be not free, even assuming CH, I. Israel J. Math. 28, 193–204 (1977). https://doi.org/10.1007/BF02759809
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DOI: https://doi.org/10.1007/BF02759809