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Whitehead groups may be not free,even assuming CH,I

Authors:	Saharon Shelah

Institution:	(1) Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

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. 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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