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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Order-cushioned refinements and normality
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by J. C. Smith and Rastislav Telgársky PDF
Proc. Amer. Math. Soc. 85 (1982), 475-479 Request permission

Abstract:

The authors use the notions of order-cushioned covers and weak $\theta$-covers to obtain the following result. Theorem. A space $X$ is collectionwise normal iff every weak $\theta$-cover of $X$ has an order-cushioned open refinement. Similar characterizations are obtained for normal, countably paracompact spaces and analogous embedding theorems are shown.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 85 (1982), 475-479
  • MSC: Primary 54D15; Secondary 54D20
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0656127-1
  • MathSciNet review: 656127