On convex intersection bodies and unique determination problems for convex bodies

Matthew Stephen

doi:10.1016/j.jmaa.2016.05.023

On convex intersection bodies and unique determination problems for convex bodies

Matthew Stephen

Research output: Contribution to journal › Article › peer-review

Abstract

We describe a general result which ensures counter-examples for certain problems of unique determination for convex bodies. Using this result, we show a convex body K⊂Rⁿ is not uniquely determined by its convex intersection body CI(K), introduced by Meyer and Reisner in 2011.

Original language	English
Pages (from-to)	295-312
Number of pages	18
Journal	Journal of Mathematical Analysis and Applications
Volume	443
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2016.05.023
State	Published - 1 Nov 2016
Externally published	Yes

Keywords

Convex intersection body
Cross-section body
Intersection body
Klee's problem

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10.1016/j.jmaa.2016.05.023

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title = "On convex intersection bodies and unique determination problems for convex bodies",

abstract = "We describe a general result which ensures counter-examples for certain problems of unique determination for convex bodies. Using this result, we show a convex body K⊂Rn is not uniquely determined by its convex intersection body CI(K), introduced by Meyer and Reisner in 2011.",

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KW - Cross-section body

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On convex intersection bodies and unique determination problems for convex bodies

Abstract

Keywords

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