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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.

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 a game theoretic notion of complexity for compact convex sets
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by Ehud Kalai and Meir Smorodinsky
Proc. Amer. Math. Soc. 49 (1975), 416-420
DOI: https://doi.org/10.1090/S0002-9939-1975-0368707-8
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Abstract:

The notion of complexity for compact convex sets introduced by Billera and Bixby is considered. It is shown that for $n \geq 3$ there are sets in ${R^n}$ of complexity $n$. Also for $n = 3$ the maximal complexity is 3.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 49 (1975), 416-420
  • MSC: Primary 90A15; Secondary 52-XX
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0368707-8
  • MathSciNet review: 0368707