A new characterization of totally projective groups of cardinality ℵ₁

Hill, Paul

doi:10.1090/S0002-9939-1995-1291773-5

A new characterization of totally projective groups of cardinality $\aleph _ 1$
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Proc. Amer. Math. Soc. 123 (1995), 657-662 Request permission

Abstract:

A new characterization is given for totally projective groups of cardinality not exceeding ${\aleph _1}$. The new description is in terms of what we call a v-basis. The question about the structure of larger groups having a v-basis is left open, but we establish some closure properties of such groups.

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