Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Morse-Sard theorem for d.c. curves   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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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: eess
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs