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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On Archimedean ordered vector spaces and a characterization of simplices
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by Gerhard Gierz and Boris Shekhtman PDF
Proc. Amer. Math. Soc. 116 (1992), 369-375 Request permission

Abstract:

We show that a convex subset $K$ of a linear space is a simplex if and only if it is line compact and every nonempty intersection of two translates of $K$ is a homothet of $K$. This answers a problem posed by Rosenthal. The proof uses a reformulation of this problem in terms of Archimedean ordered spaces
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 116 (1992), 369-375
  • MSC: Primary 46A55; Secondary 46A40
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1095222-9
  • MathSciNet review: 1095222