Robert Rałowski: Images of Bernstein sets via continuous functions
07/11/18 06:43
Tuesday, November 13, 2018 17:15
Room: D1-215
Speaker: Robert Rałowski
Title: Images of Bernstein sets via continuous functions
Abstract. We examine images of Bernstein sets via continuous mappings. Among other results we prove that there exists a continuous function \(f:\mathbb{R}\to\mathbb{R}\) that maps every Bernstein subset of \(\mathbb{R}\) onto the whole real line. This gives the positive answer to a question of Osipov. This talk is based upon joint paper with Jacek Cichoń and Michał Morayne.
Room: D1-215
Speaker: Robert Rałowski
Title: Images of Bernstein sets via continuous functions
Abstract. We examine images of Bernstein sets via continuous mappings. Among other results we prove that there exists a continuous function \(f:\mathbb{R}\to\mathbb{R}\) that maps every Bernstein subset of \(\mathbb{R}\) onto the whole real line. This gives the positive answer to a question of Osipov. This talk is based upon joint paper with Jacek Cichoń and Michał Morayne.