Dutrifoy, Alexandre Construction of a function which is continuous from \([0,1]\) into certain Banach spaces and non-measurable from \([0,1]\) into another space with some more strong topology. (Construction d’une fonction \(f\) continue de \([0,1]\) dans certains espaces de Banach et non mesurable de \([0,1]\) dans un autre, de topologie légèrement plus forte.) (French) Zbl 0972.28001 Bull. Belg. Math. Soc. - Simon Stevin 7, No. 2, 211-214 (2000). Summary: The purpose of this note is to construct a non-measurable function \(f\) defined on \([0,1]\) with values in the Hölder space \(C^r(\mathbb{R})\) \((r\in ]0,1[)\) which, as a function with values in any space \(C^{r'}(\mathbb{R})\) \((r'< r)\), is continuous. Cited in 2 Documents MSC: 28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence 35Q30 Navier-Stokes equations 40A30 Convergence and divergence of series and sequences of functions Keywords:continuity; Euler equation; non-measurable function; Hölder space PDFBibTeX XMLCite \textit{A. Dutrifoy}, Bull. Belg. Math. Soc. - Simon Stevin 7, No. 2, 211--214 (2000; Zbl 0972.28001)