Luukkainen, Jouni The density topology is maximally resolvable. (English) Zbl 1009.54006 Real Anal. Exch. 25(1999-2000), No. 1, 419-420 (2000). A result of J. G. Ceder [Fundam. Math. 55, 87-93 (1964; Zbl 0139.40401)] is applied to show that the real line equipped with the density topology is the union of \(2^{\aleph_0}\) disjoint dense sets each meeting each nonempty open set in \(2^{\aleph_0}\) points. Reviewer: Jouni Luukkainen MSC: 54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets) 28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets Keywords:density topology; maximally resolvable Citations:Zbl 0139.40401 PDFBibTeX XMLCite \textit{J. Luukkainen}, Real Anal. Exch. 25, No. 1, 419--420 (2000; Zbl 1009.54006)