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arXiv · 2101.08384

A solution to the Fifth and the Eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball

M. Angeles Alfonseca·Fedor Nazarov·Dmitry Ryabogin·Vladyslav Yaskin
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Abstract

We show that the fifth and the eighth Busemann-Petty problems have positive solutions for bodies that are sufficiently close to the Euclidean ball in the Banach-Mazur distance.

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M. Angeles Alfonseca, Fedor Nazarov, Dmitry Ryabogin, Vladyslav Yaskin. 2021-01-21. A solution to the Fifth and the Eighth Busemann-Petty problems in a small neighborhood of the Euclidean ball. https://arxiv.org/abs/2101.08384

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