Filtration equivalent aleph_1-separable abelian groups of cardinality aleph_1

Details Filtration equivalent aleph_1-separable abelian groups of cardinality aleph_1 Filtration equivalent aleph_1-separable abelian groups of cardinality aleph_1

2006-12-09

arxiv.org/abs/math/0612241v1

Mathematics

Logic

Scientific paper

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.

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