Stephen Scheinberg
A $Q$-linear automorphism of the reals with non-measurable graph

Abstract:This note contains a proof of the existence of a one-to-one function $\Theta $ of~$\,\mathbb{R}\,$ onto itself with the following properties: $\Theta $ is a rational-linear automorphism of $\mathbb{R}$, and the graph of $\Theta $ is a non-measurable subset of the plane.

Keywords: non-measurable functions; rational automorphism

DOI: DOI 10.14712/1213-7243.2019.004
AMS Subject Classification: 26A30 28A05 28A20