Abstract

ABSTRACT: A space is resolvable if it contains complementary dense subsets. Among the results proved here, are these. Let Gi (1 ≤i≤ 6) be nondiscrete Hausdorff topological groups with Gi Abelian (1 ≤i≤ 4), G3 locally bounded, G4 a Baire group, and G5 totally bounded and uncountable. Then G1×G2, G3, G4, G5, and G6×G6 are resolvable.

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