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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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Horrors of topology without $\textrm {AC}$: a nonnormal orderable space
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by Eric K. van Douwen PDF
Proc. Amer. Math. Soc. 95 (1985), 101-105 Request permission

Abstract:

In the absence of AC there can be a space which is not normal, yet which is orderable and is the topological sum of countably many compact countable metrizable spaces.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 95 (1985), 101-105
  • MSC: Primary 03E25; Secondary 03E35, 03E65, 04A25, 54D15, 54F05, 54G20
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0796455-5
  • MathSciNet review: 796455