On coherent systems of projections for aleph1 separable groups
Abstract
It is proved consistent with either CH or the negation of CH that there is an aleph1-separable group of cardinality aleph1 which does not have a coherent system of projections. It had previously been shown that it is consistent with not CH that every aleph1-separable group of cardinality aleph1 does have a coherent system of projections.
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