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A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś. (English) Zbl 0865.20041

The theorem mentioned in the title states that a direct summand of a direct product of a non-measurable number of copies of the group of rational integers is also of this form. In the paper a new proof of this result is given which uses some limit procedure over ordinals and a reduction to the countable case.

MSC:

20K25 Direct sums, direct products, etc. for abelian groups
20K27 Subgroups of abelian groups
03E55 Large cardinals
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