Article ID Journal Published Year Pages File Type
4662124 Annals of Pure and Applied Logic 2010 9 Pages PDF
Abstract

We show that it is consistent with ordinary set theory ZFC and the generalized continuum hypothesis that there exist two ℵ1-separable abelian groups of cardinality ℵ1 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].

Related Topics
Physical Sciences and Engineering Mathematics Logic