On Analogues of Some Classical Subsets of the Real Line

A. B. Kharazishvili
2000 Journal of Applied Analysis  
A theorem on the existence of separable supports of σ-finite Borel measures given on metric spaces with small topological weights is applied to constructions of certain analogues of special subsets of the real line. 1991 Mathematics Subject Classification. Primary 28A05, 28D05. Key words and phrases. Separable support of a measure, Luzin set, Sierpiński set, universal measure zero space.
doi:10.1515/jaa.2000.77 fatcat:ptpsfvqhfvgrpmn4ndmykvtscy