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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Lattices of convex sets
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by Mary Katherine Bennett
Trans. Amer. Math. Soc. 234 (1977), 279-288
DOI: https://doi.org/10.1090/S0002-9947-1977-0463051-9
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Abstract:

If V is a vector space over an ordered division ring, C a convex subset of V and L the lattice of convex subsets of C, then we call L a convexity lattice. We give necessary and sufficient conditions for an abstract lattice to be a convexity lattice in the finite dimensional case.
References
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Bibliographic Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 234 (1977), 279-288
  • MSC: Primary 06A20; Secondary 52A20
  • DOI: https://doi.org/10.1090/S0002-9947-1977-0463051-9
  • MathSciNet review: 0463051