A countably compact, first countable, nonnormal 𝑇₂-space

Vaughan, J. E.

doi:10.1090/S0002-9939-1979-0532163-0

A countably compact, first countable, nonnormal $T_{2}$-space
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by J. E. Vaughan

Proc. Amer. Math. Soc. 75 (1979), 339-342

DOI: https://doi.org/10.1090/S0002-9939-1979-0532163-0

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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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