Almost disjoint pure subgroups of the Baer-Specker group
Oren Kolman, Saharon Shelah
Abstract
We prove in ZFC that the Baer-Specker group Zomega has 2aleph1 non-free pure subgroups of cardinality aleph1 which are almost disjoint: there is no non-free subgroup embeddable in any pair.
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