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A Positive Answer to the Busemann-Petty Problem in Three Dimensions

R. J. Gardner
Annals of Mathematics
Second Series, Vol. 140, No. 2 (Sep., 1994), pp. 435-447
Published by: Annals of Mathematics
DOI: 10.2307/2118606
Stable URL: http://www.jstor.org/stable/2118606
Page Count: 13
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Positive Answer to the Busemann-Petty Problem in Three Dimensions
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Abstract

We prove that in mathbbE3 the Busemann-Petty problem, concerning central sections of centrally symmetric convex bodies, has a positive answer. Together with other results, this settles the problem in each dimension.

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