Proceedings of the American Mathematical Society

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

 

 

Contractions of convex sets


Author: Robert E. Jamison
Journal: Proc. Amer. Math. Soc. 62 (1977), 129-130
MSC: Primary 52A05; Secondary 02H25
MathSciNet review: 0428195
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Abstract: In this paper it is shown that, in a vector space over any ordered field, a noninfinitesimal contraction of a convex set K can be written as an intersection of translates of K.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0428195-1
Keywords: Contraction, convex set, intersection theorem, ordered field, translation, vector space
Article copyright: © Copyright 1977 American Mathematical Society