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On mixed volumes of nonconvex sets


Author: Wolfgang Weil
Journal: Proc. Amer. Math. Soc. 53 (1975), 191-194
MSC: Primary 52A20
DOI: https://doi.org/10.1090/S0002-9939-1975-0383249-1
MathSciNet review: 0383249
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Abstract: Mixed volumes have been extended [ill] nonconvex sets by several authors. It is shown that in any such extension at least one essential property of mixed volumes is lost.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0383249-1
Keywords: Convex body, mixed volume, vector addition, compact sets
Article copyright: © Copyright 1975 American Mathematical Society

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