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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.

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

  • Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199

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Keywords: Contraction, convex set, intersection theorem, ordered field, translation, vector space
Article copyright: © Copyright 1977 American Mathematical Society