Decompositions of direct products of groups
Abstract
We propose a new method for the decomposition of direct products of groups into U subsets. By using this method, we prove the following generalization of the Comfort-van Mill theorem: An arbitrary nondiscrete topological Abelian group with a finite number of second-order elements can be decomposed into a countable number of dense subsets.
English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 10, pp 1559-1569.
Citation Example: Protasov I. V. Decompositions of direct products of groups // Ukr. Mat. Zh. - 1997. - 49, № 10. - pp. 1385–1395.
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