Hausdorff closed extensions of pre-uniform spaces

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1635-4878-1-SM.pdf (104.5 KB)

Fecha

2012-04-01

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https://riunet.upv.es/handle/10251/87179

Cita bibliográfica

García-Máynez, A.; Mancio-Toledo, R. (2012). Hausdorff closed extensions of pre-uniform spaces. Applied General Topology. 13(1):27-31. https://doi.org/10.4995/agt.2012.1635

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Resumen

[EN] The family of densely finite open covers of a Hausdorff space X determines a completable pre-uniformity on X and the canonical completion X is Hausdorff closed. We compare X with the Katetov extension kX of X and give sufficient conditions for the non-equivalence of kX and X.

Palabras clave

Hausdorff closed space, Densely finite-cover, Katetov extension

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2012.1635

Versión del editor

https://doi.org/10.4995/agt.2012.1635

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Applied General Topology - Vol 13, No 1 (2012)