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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Contractions of convex sets
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by Robert E. Jamison
Proc. Amer. Math. Soc. 62 (1977), 129-130
DOI: https://doi.org/10.1090/S0002-9939-1977-0428195-1
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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
  • 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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Bibliographic Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 62 (1977), 129-130
  • MSC: Primary 52A05; Secondary 02H25
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0428195-1
  • MathSciNet review: 0428195