Geodesic
Morse-Sard theorem for delta-convex curves
Mathematica Bohemica, Tome 133 (2008) no. 4, pp. 337-340

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Let $f\colon I\to X$ be a delta-convex mapping, where $I\subset \mathbb 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.
Let $f\colon I\to X$ be a delta-convex mapping, where $I\subset \mathbb 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.
DOI : 10.21136/MB.2008.140622
Classification : 26A51
Keywords: Morse-Sard theorem; delta-convex mapping 
Pavlica, D. Morse-Sard theorem for delta-convex curves. Mathematica Bohemica, Tome 133 (2008) no. 4, pp. 337-340. doi: 10.21136/MB.2008.140622
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