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Physical Sciences and Mathematics Commons

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Mathematics

Mathematics Faculty Publications

1994

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Full-Text Articles in Physical Sciences and Mathematics

On The Busemann-Petty Problem Concerning Central Sections Of Centrally Symmetric Convex-Bodies, Richard J. Gardner Apr 1994

On The Busemann-Petty Problem Concerning Central Sections Of Centrally Symmetric Convex-Bodies, Richard J. Gardner

Mathematics Faculty Publications

We present a method which shows that in E3 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.