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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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A countably compact $k’$-space need not be countably $\textbf {bi}-k$
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by Roy C. Olson PDF
Proc. Amer. Math. Soc. 62 (1977), 144-148 Request permission

Abstract:

An example is given of a countably compact k’-space that is not countably bi-k. Interest for this example arises from a recent paper of Michael, Olson, and Siwiec and from a 1972 paper of E. Michael, both of which discuss mapping characterizations of a range space. The construction of the example assumes the continuum hypothesis.
References
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 62 (1977), 144-148
  • MSC: Primary 54D50; Secondary 54G20
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0493974-1
  • MathSciNet review: 0493974