Rose, David; Thurston, Ben Maximally resolvable lower density spaces. (English) Zbl 1159.28001 Real Anal. Exch. 33(2007-2008), No. 2, 475-482 (2008). Authors’ abstract: It is shown that all measure based and all category based lower density topologies on \({\mathcal R}\) are maximally resolvable in ZFC and extraresolvable under ZFC + MA. It is also noted that both maximal resolvability and extraresolvability are feeble topological properties. Reviewer: Zbigniew Grande (Bydgoszcz) Cited in 1 Document MSC: 28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets 54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) 54C08 Weak and generalized continuity Keywords:measure based lower density space; category based lower density space; maximal resolvability; extraresolvability; feeble topological property; feeble homeomorphism PDFBibTeX XMLCite \textit{D. Rose} and \textit{B. Thurston}, Real Anal. Exch. 33, No. 2, 475--482 (2008; Zbl 1159.28001) Full Text: DOI