A topological space without a complete quasi-uniformity

Künzi, Hans-Peter A.; Fletcher, Peter

doi:10.1090/S0002-9939-1984-0733415-3

A topological space without a complete quasi-uniformity
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by Hans-Peter A. Künzi and Peter Fletcher

Proc. Amer. Math. Soc. 90 (1984), 611-615

DOI: https://doi.org/10.1090/S0002-9939-1984-0733415-3

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Abstract:

We show that an example of Burke and van Douwen has no complete quasi-uniformity. Moreover, we show that it is almost finitely-fully normal but not almost ${\aleph _0}$-fully normal.

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