García-Máynez, Adalberto; Mancio-Toledo, Rubén(Universitat Politècnica de València, 2007-10-01)
[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.
García-Máynez, Adalberto; Mancio-Toledo, Rubén(Universitat Politècnica de València, 2012-04-01)
[EN] We give sufficient conditions on a uniformly continuous map f: (X,U) → (Y, V ) between completable T1-pre-uniform spaces (X,U), (Y, V ) to have a continuous or a uniformly continuous extension f:X → Y between the ...
García-Máynez, Adalberto; Mancio-Toledo, Rubén(Universitat Politècnica de València, 2012-04-01)
[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 ...