Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Morse-Sard-Brown Theorem for Functionals on
  Bounded-Fr\'{e}chet-Finsler Manifolds   In this paper we study Lipschitz-Fredholm vector fields on
Bounded-Fr\'{e}chet-Finsler manifolds. In this context we generalize the
Morse-Sard-Brown theorem, asserting that if $M$ is a connected smooth
bounded-Fr\'{e}chet-Finsler manifold endowed with a connection $\mathcal{K}$
and if $\xi$ is a smooth Lipschitz-Fredholm vector field on $M$ with respect to
$\mathcal{K}$ which satisfies condition (WCV). Then, for any smooth functional
$l$ on $M$ which is associated to $\xi$, the set of the critical values of $l$
is of first category in $\mathbb{R}$. Therefore, the set of the regular values
of $l$ is a residual Baire subset of $\mathbb{R}

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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an