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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Nonmetrizable hereditarily Lindelöf spaces with point-countable bases from CH


Authors: Eric K. Van Douwen, Franklin D. Tall and William A. R. Weiss
Journal: Proc. Amer. Math. Soc. 64 (1977), 139-145
MSC: Primary 54D20
MathSciNet review: 0514998
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Abstract: A nonmetrizable hereditarily Lindelöf space with a point-countable base is obtained by using the continuum hypothesis to construct a Lusin subspace of a countable chain condition first countable nonseparable Baire space.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0514998-1
PII: S 0002-9939(1977)0514998-1
Keywords: Hereditarily Lindelöf nonseparable, point-countable base, continuum hypothesis, Lusin space, Pixley-Roy topology
Article copyright: © Copyright 1977 American Mathematical Society