
doi: 10.1007/bf02760461
We continue the investigation from [10], [11], [12] on uncountable abelian groups. This paper tends more to group theory and was motivated by Nunke’s statement (in [9]) that Whitehead problem, rephrased properly, is not solved yet.
Axiom of constructibility, hereditarily separable groups, Continuum hypothesis and Martin's axiom, Subgroups of abelian groups, direct summand of countable index, Torsion-free groups, infinite rank, Axiomatics of classical set theory and its fragments, Direct sums, direct products, etc. for abelian groups, Inner models, including constructibility, ordinal definability, and core models, countable direct sum of integers, Martin's axiom, Metamathematical considerations in group theory, Consistency and independence results, Whitehead group
Axiom of constructibility, hereditarily separable groups, Continuum hypothesis and Martin's axiom, Subgroups of abelian groups, direct summand of countable index, Torsion-free groups, infinite rank, Axiomatics of classical set theory and its fragments, Direct sums, direct products, etc. for abelian groups, Inner models, including constructibility, ordinal definability, and core models, countable direct sum of integers, Martin's axiom, Metamathematical considerations in group theory, Consistency and independence results, Whitehead group
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