Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finiteness Principles for Smooth Selection   In this paper we prove finiteness principles for $C^{m}\left( \mathbb{R}^{n},
\mathbb{R}^{D}\right) $-selection, and for $C^{m-1,1}\left( \mathbb{R}^{n},
\mathbb{R}^{D}\right) $-selection, in particular providing a proof for a
conjecture of Brudyni-Shvartsman (1994) on Lipschitz selections for the case
when the domain is $X = \mathbb{R}^n$. Our results raise the hope that one can
start to understand constrained interpolation problems in which e.g. the
interpolating function $F$ is required to be nonnegative everywhere.

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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg