Given a closed set of Lebesgue measure zero, we construct a function with the property that is a perfect set for every in .
Cite this article
Emma D'Aniello, U.B. Darji, On the Existence of Functions with Perfect Level Sets. Z. Anal. Anwend. 19 (2000), no. 3, pp. 847–852DOI 10.4171/ZAA/983