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Proceedings of the American Mathematical Society

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

 

 

Locally compact normal meta-Lindelöf spaces may not be paracompact: an application of uniformization and Suslin lines


Author: Stephen Watson
Journal: Proc. Amer. Math. Soc. 98 (1986), 676-680
MSC: Primary 54D15; Secondary 03E35, 54A35, 54D18, 54D45, 54G20
DOI: https://doi.org/10.1090/S0002-9939-1986-0861774-1
MathSciNet review: 861774
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Abstract: We show that it is consistent with and independent of the continuum hypothesis (and its negation) that there is a locally compact (perfectly) normal metalindelöf space which is not paracompact. The constructions replace each point in an $ \omega $-uniformizable family with a Suslin line.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0861774-1
Article copyright: © Copyright 1986 American Mathematical Society