Morse-Sard theorem for d.c. curves

Details Morse-Sard theorem for d.c. curves Morse-Sard theorem for d.c. curves

2006-12-18

arxiv.org/abs/math/0612505v2

Mathematics

Functional Analysis

4 pages

Scientific paper

Let $f:I\to X$ be a d.c. 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.

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