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.
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References
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Additional information
Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 10, pp. 1385–1395, October, 1997.
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Protasov, I.V. Decompositions of direct products of groups. Ukr Math J 49, 1559–1569 (1997). https://doi.org/10.1007/BF02487441
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DOI: https://doi.org/10.1007/BF02487441