When is the composition of functions measurable?

Research Article

When is the composition of functions measurable?

Published in: Quaestiones Mathematicae
Volume 46 , issue 9 , 2023 , pages: 1837–1846
DOI: 10.2989/16073606.2022.2111615
Author(s): F. Javier Fernández Universidade de Santiago de Compostela, Spain , F. Adrián F. Tojo Universidade de Santiago de Compostela, Spain
Keywords: 28-02 , Measurable functions , composition , Lebesgue measure
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Abstract

In this article we explore under which conditions on the interior function the composition of functions is measurable. We also study the sharpness of the result by providing a counterexample for weaker hypotheses.
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