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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Minimal shell of a typical convex body


Author: Andreana Zucco
Journal: Proc. Amer. Math. Soc. 109 (1990), 797-802
MSC: Primary 52A20; Secondary 52A40
MathSciNet review: 1015687
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Abstract: We prove that "most" convex bodies in $ {E^d}$ touch the boundary of their minimal shell in precisely $ d + 2$ points.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1015687-6
Keywords: Convex body, minimal shell, Baire category
Article copyright: © Copyright 1990 American Mathematical Society