Corpus ID: 119702101

Filtration equivalent aleph_1-separable abelian groups of cardinality aleph_1

@inproceedings{Shelah2006FiltrationEA,
  title={Filtration equivalent aleph_1-separable abelian groups of cardinality aleph_1},
  author={Saharon Shelah and Lutz Strungmann},
  year={2006}
}
  • Saharon Shelah, Lutz Strungmann
  • Published 2006
  • Mathematics
  • We show that it is consistent with ordinary set theory ZFC and the generalized continuum hypothesis that there exist two separable abelian groups of cardinality aleph_1 which are filtration equivalent and one is a Whitehead group but the other is not. This solves one of the open problems of Eklof and Mekler.