Filtration-equivalent [formula omitted]-separable abelian groups of cardinality [formula omitted

Saharon Shelah,Lutz Strüngmann

doi:10.1016/j.apal.2009.12.001

Filtration-equivalent [formula omitted]-separable abelian groups of cardinality [formula omitted

Saharon Shelah, Lutz Strüngmann

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https://doi.org/10.1016/j.apal.2009.12.001

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Journal: Annals of Pure and Applied Logic	Publication Date: Jan 19, 2010
License type: elsevier-specific: oa user license

Affiliation: Hebrew University of Jerusalem, University of Duisburg-Essen

#Continuum Hypothesis #Ordinary Set Theory + Show 8 more

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Abstract

We show that it is consistent with ordinary set theory Z F C and the generalized continuum hypothesis that there exist two ℵ 1 -separable abelian groups of cardinality ℵ 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 (2002) [2].

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