D. Pavlica, Institute of Mathematics, Academy of Sciences of the Czech Republic, Zitna 25, 115 67 Praha 1, Czech Republic, e-mail: firstname.lastname@example.org
Abstract: Let $f I\to X$ be a delta-convex mapping, where $I\subset\R$ is an open interval and $X$ a Banach space. Let $C_f$ be the set of critical points of $f$. We prove that $f(C_f)$ has zero $1/2$-dimensional Hausdorff measure.
Keywords: Morse-Sard theorem, delta-convex mapping
Classification (MSC2000): 26A51
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