Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: No dimension reduction for doubling subsets of $\ell_q$ when $q>2$
  revisited   We revisit the main results from \cites{BGN_SoCG14,BGN_SIAM15} and
\cite{LafforgueNaor14_GD} about the impossibility of dimension reduction for
doubling subsets of $\ell_q$ for $q>2$. We provide an alternative elementary
proof of this impossibility result that combines the simplicity of the
construction in \cites{BGN_SoCG14,BGN_SIAM15} with the generality of the
approach in \cite{LafforgueNaor14_GD} (except for $L_1$ targets). One advantage
of this different approach is that it can be naturally generalized to obtain
embeddability obstructions into non-positively curved spaces or asymptotically
uniformly convex Banach spaces.

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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol