Filtration-equivalent א1-separable abelian groups of cardinality א1

Saharon Shelah, Lutz Strüngmann*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)935-943
Number of pages9
JournalAnnals of Pure and Applied Logic
Volume161
Issue number7
DOIs
StatePublished - Apr 2010

Keywords

  • א-separable groups
  • Filtration equivalent groups
  • Whitehead groups

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