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Proceedings of the American Mathematical Society

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A countably compact, first countable, nonnormal $ T\sb{2}$-space


Author: J. E. Vaughan
Journal: Proc. Amer. Math. Soc. 75 (1979), 339-342
MSC: Primary 54D15
DOI: https://doi.org/10.1090/S0002-9939-1979-0532163-0
MathSciNet review: 532163
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Abstract: We construct a space which has the properties listed in the title and which is also locally compact, locally countable, zero-dimensional, $ \omega $-bounded and has cardinality $ {\aleph _1}$.


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DOI: https://doi.org/10.1090/S0002-9939-1979-0532163-0
Keywords: Countably compact, first countable, nonnormal, separable
Article copyright: © Copyright 1979 American Mathematical Society