Abstract
We show that it is consistent with ordinary set theory Z F C 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].
Original language | English |
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Pages (from-to) | 935-943 |
Number of pages | 9 |
Journal | Annals of Pure and Applied Logic |
Volume | 161 |
Issue number | 7 |
DOIs | |
State | Published - Apr 2010 |
Keywords
- א-separable groups
- Filtration equivalent groups
- Whitehead groups