Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the nontrivial projection problem   The Nontrivial Projection Problem asks whether every finite-dimensional
normed space of dimension greater than one admits a well-bounded projection of
non-trivial rank and corank or, equivalently, whether every centrally symmetric
convex body (of arbitrary dimension greater than one) is approximately affinely
equivalent to a direct product of two bodies of non-trivial dimension. We show
that this is true "up to a logarithmic factor."

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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin