Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sobolev mappings: Lipschitz density is not an isometric invariant of the
  target   If $M$ is a compact smooth manifold and $X$ is a compact metric space, the
Sobolev space $W^{1,p}(M,X)$ is defined through an isometric embedding of $X$
into a Banach space. We prove that the answer to the question whether Lipschitz
mappings ${\rm Lip}\,(M,X)$ are dense in $W^{1,p}(M,X)$ may depend on the
isometric embedding of the target.

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The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org