Completions of pre–uniform spaces

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1882-5927-1-SM.pdf (123.51 KB)

Fecha

2007-10-01

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https://riunet.upv.es/handle/10251/83067

Cita bibliográfica

García-Máynez, A.; Mancio-Toledo, R. (2007). Completions of pre–uniform spaces. Applied General Topology. 8(2):213-221. https://doi.org/10.4995/agt.2007.1882

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Resumen

[EN] In this paper we prove the existence of a completion of a T0–pre-uniform space (X,U), with the property that each Cauchy filter in (X,U) contains a weakly round filter.

Palabras clave

Pre–uniform space, Complete pre–uniform space, Uniform conti-nuity, Pre–uniformity basis, Semi–uniformity basis, Unimorphism, Unimorphism embedding, Equivalent, Admisible and compatible pre–uniformities, Balanced filter, Cauchy, Minimal Cauchy, Round, Weakly round, And strongly round fil-ters, Proper pre–uniform space

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2007.1882

Versión del editor

https://doi.org/10.4995/agt.2007.1882

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Applied General Topology - Vol 08, No 2 (2007)