On coherent systems of projections for aleph_1 separable groups

Mathematics – Logic

Scientific paper

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Scientific paper

It is proved consistent with either CH or the negation of CH that there is
an aleph_1-separable group of cardinality aleph_1 which does not have a
coherent system of projections. It had previously been shown that it is
consistent with not CH that every aleph_1-separable group of cardinality
aleph_1 does have a coherent system of projections.

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