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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A space of small spread without the usual properties
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by Judith Roitman
Proc. Amer. Math. Soc. 43 (1974), 245-248
DOI: https://doi.org/10.1090/S0002-9939-1974-0331317-1
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Abstract:

A space is found, for any $\alpha$, which has spread $\alpha$ and which is not the set-theoretic union of a hereditarily $\alpha$-Lindelof and a hereditarily $\alpha$-separable space.
References
  • A. Hajnal and I. Juhász, On hereditarily $\alpha$-Lindelöf and hereditarily $\alpha$-separable spaces, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 11 (1968), 115–124. MR 240779
    • —, A consistency result concerning hereditarily $\alpha$-separable spaces, Proceedings of the Bolyai János Mathematical Society Colloquium on Topology, Keszthely, Hungary, 1972 (to appear).
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 245-248
  • MSC: Primary 54DXX; Secondary 54A25
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0331317-1
  • MathSciNet review: 0331317