Filtration-equivalent ℵ 1 -separable abelian groups of cardinality ℵ 1

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Annals of Pure and Applied Logic 161 (7):935-943 (2010)
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Abstract

We show that it is consistent with ordinary set theory ZFC and the generalized continuum hypothesis that there exist two 1-separable abelian groups of cardinality 1 which are filtration-equivalent and one is a Whitehead group but the other is not. This solves one of the open problems from Eklof and Mekler [2]

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10.1016/j.apal.2009.12.001

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[Omnibus Review].Thomas Jech - 1992 - Journal of Symbolic Logic 57 (1):261-262.

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