Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified Busemann-Petty problem on sections of convex bodies   The Busemann-Petty problem asks whether origin-symmetric convex bodies in
$\mathbb{R}^n$ with smaller central hyperplane sections necessarily have
smaller $n$-dimensional volume. It is known that the answer is affirmative if
$n\le 4$ and negative if $n\ge 5$. In this article we modify the assumptions of
the original Busemann-Petty problem to guarantee the affirmative answer in all
dimensions.

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The categories of this paper are: stat
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex