Abstract
We prove in ZFC that the Baer-Specker group Zω has 2ℵ 1 non-free pure subgroups of cardinality ℵ1 which are almost disjoint: there is no non-free subgroup embeddable in any pair.
We thank the referee for constructive comments.
This research was partially supported by the German-Israel Foundation project No. G-545-173.06/97; publication number 683.
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Kolman, O., Shelah, S. (1999). Almost disjoint pure subgroups of the Baer-Specker group. In: Eklof, P.C., Göbel, R. (eds) Abelian Groups and Modules. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7591-2_17
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DOI: https://doi.org/10.1007/978-3-0348-7591-2_17
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