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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.

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Priestley spaces
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by P. Venugopalan PDF
Proc. Amer. Math. Soc. 109 (1990), 605-610 Request permission

Abstract:

We give a purely order-theoretic characterization of complete lattices that are compact totally order-disconnected (Priestley) spaces with respect to the Lawson topology. We also characterize complete lattices that are Priestley spaces with respect to the interval topology.
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 109 (1990), 605-610
  • MSC: Primary 06B35; Secondary 06B30, 54F05
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1013985-3
  • MathSciNet review: 1013985