Title of article
Filtration-equivalent -separable abelian groups of cardinality
Author/Authors
Shelah، نويسنده , , Saharon and Strüngmann، نويسنده , , Lutz، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
9
From page
935
To page
943
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].
Keywords
Filtration equivalent groups , Whitehead groups , ? 1 -separable groups
Journal title
Annals of Pure and Applied Logic
Serial Year
2010
Journal title
Annals of Pure and Applied Logic
Record number
1444449
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