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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

$ \Delta$-sets


Author: R. W. Knight
Journal: Trans. Amer. Math. Soc. 339 (1993), 45-60
MSC: Primary 54A35; Secondary 03E35, 54D20
DOI: https://doi.org/10.1090/S0002-9947-1993-1196219-6
MathSciNet review: 1196219
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Abstract: A model of $ {\text{ZFC}}$ is constructed in which there exists a subset of the Moore plane that is countably paracompact but not normal. The method used in the construction is forcing using uncountable sets of finite partial functions, $ {\omega _1}$ and $ {\omega _2}$ are shown to be preserved using a fusion lemma.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1993-1196219-6
Keywords: Countably paracompact, normal, Moore space, forcing, Fusion Lemma
Article copyright: © Copyright 1993 American Mathematical Society