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

Scheinberg, Stephen. "A $Q$-linear automorphism of the reals with non-measurable graph." Commentationes Mathematicae Universitatis Carolinae 60.2 (2019): 209-210. <http://eudml.org/doc/294345>.

@article{Scheinberg2019,
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.},
author = {Scheinberg, Stephen},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {non-measurable functions; rational automorphism},
language = {eng},
number = {2},
pages = {209-210},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A $Q$-linear automorphism of the reals with non-measurable graph},
url = {http://eudml.org/doc/294345},
volume = {60},
year = {2019},
}

TY - JOUR
AU - Scheinberg, Stephen
TI - A $Q$-linear automorphism of the reals with non-measurable graph
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2019
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 60
IS - 2
SP - 209
EP - 210
AB - 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.
LA - eng
KW - non-measurable functions; rational automorphism
UR - http://eudml.org/doc/294345
ER -