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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A space of small spread without the usual properties

Author: Judith Roitman
Journal: Proc. Amer. Math. Soc. 43 (1974), 245-248
MSC: Primary 54DXX; Secondary 54A25
MathSciNet review: 0331317
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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 [Enhancements On Off] (What's this?)

  • [1] A. Hajnal and I. Juhász, On hereditarily 𝛼-Lindelöf and hereditarily 𝛼-separable spaces, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 11 (1968), 115–124. MR 0240779
  • [2] -, 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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Keywords: Spread, Lindelof, separable
Article copyright: © Copyright 1974 American Mathematical Society