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
DOI:
https://doi.org/10.1090/S0002-9939-1974-0331317-1
MathSciNet review:
0331317
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Abstract | References | Similar Articles | Additional Information
Abstract: A space is found, for any , which has spread
and which is not the set-theoretic union of a hereditarily
-Lindelof and a hereditarily
-separable space.
- [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 240779
- [2]
-, A consistency result concerning hereditarily
-separable spaces, Proceedings of the Bolyai János Mathematical Society Colloquium on Topology, Keszthely, Hungary, 1972 (to appear).
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0331317-1
Keywords:
Spread,
Lindelof,
separable
Article copyright:
© Copyright 1974
American Mathematical Society