## Stephen Scheinberg

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

Comment.Math.Univ.Carolin. 60,2 (2019) 209-210.**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

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