O’Neill, John D. A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś. (English) Zbl 0865.20041 Colloq. Math. 70, No. 2, 191-194 (1996). 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. Reviewer: S.Balcerzyk (Toruń) MSC: 20K25 Direct sums, direct products, etc. for abelian groups 20K27 Subgroups of abelian groups 03E55 Large cardinals Keywords:slender groups; measurable cardinals; direct summands; direct products PDFBibTeX XMLCite \textit{J. D. O'Neill}, Colloq. Math. 70, No. 2, 191--194 (1996; Zbl 0865.20041) Full Text: DOI EuDML