Robert Rałowski: Images of Bernstein sets via continuous functions

Tuesday, November 13, 2018, 17:15
Wrocław University of Technology, 215 D-1

Speaker: Robert Rałowski (Wroclaw University of Science and Technology)

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.

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