Comfort, W. W.; Feng, Li The union of resolvable spaces is resolvable. (English) Zbl 0769.54002 Math. Jap. 38, No. 3, 413-414 (1993). Summary: Following E. Hewitt [Duke Math. J. 10, 309-333 (1943; Zbl 0060.394)], a space is said to be resolvable if it admits complementary, dense subsets.Theorem: Let \(X=\bigcup_{i\in I} X_ i\) with each \(X_ i\) resolvable in the subspace topology. Then \(X\) itself is resolvable .Corollary: A homogeneous space with a non-empty resolvable subspace is resolvable. Cited in 11 Documents MSC: 54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets) 54H11 Topological groups (topological aspects) 22A05 Structure of general topological groups Keywords:resolvable space Citations:Zbl 0060.39406; Zbl 0060.394 PDFBibTeX XMLCite \textit{W. W. Comfort} and \textit{L. Feng}, Math. Japon. 38, No. 3, 413--414 (1993; Zbl 0769.54002)