On coherent systems of projections for aleph₁ separable groups
classification
🧮 math.LO
math.RA
keywords
alephcoherentprojectionsseparablecardinalityconsistentgroupsystem
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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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