Abstract
We prove that every countable Abelian group with finitely many second-order elements can be decomposed into countably many subsets that are dense in any nondiscrete group topology.
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Additional information
Lutsk Industrial Institute, Lutsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 1, pp. 41–47, January, 1999.
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Zelenyuk, E.G. Decomposability of topological groups. Ukr Math J 51, 44–50 (1999). https://doi.org/10.1007/BF02591913
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DOI: https://doi.org/10.1007/BF02591913