Sh:683

• Kolman, O., & Shelah, S. (1999). Almost disjoint pure subgroups of the Baer-Specker group. In Abelian groups and modules (Dublin, 1998), Birkhäuser, Basel, pp. 225–230. arXiv: math/0102057 MR: 1735570
• Abstract:
  We prove in ZFC that the Baer-Specker group {\bf Z}^\omega has 2^{\aleph_1} non-free pure subgroups of cardinality \aleph_1 which are almost disjoint: there is no non-free subgroup embeddable in any pair.
• Version 2000-11-19_11 (5p) published version (6p)

@incollection{Sh:683,
 author = {Kolman, Oren and Shelah, Saharon},
 title = {{Almost disjoint pure subgroups of the Baer-Specker group}},
 booktitle = {{Abelian groups and modules (Dublin, 1998)}},
 series = {Trends Math.},
 year = {1999},
 pages = {225--230},
 publisher = {Birkh\"auser, Basel},
 mrnumber = {1735570},
 mrclass = {20K25},
 note = {\href{https://arxiv.org/abs/math/0102057}{arXiv: math/0102057}},
 arxiv_number = {math/0102057}
}