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Listar por autor "García-Máynez, Adalberto"

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Listar por autor "García-Máynez, Adalberto"

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    A note on unibasic spaces and transitive quasi-proximities 
    García-Máynez, Adalberto; Pimienta Acosta, Adolfo (Universitat Politècnica de València, 2017-04-03)
    [EN] In this paper we prove there is a bijection between the set of all annular bases of a topological spaces $(X,\tau)$ and the set of all transitive quasi-proximities on $X$ inducing $\tau$.We establish some properties ...
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    A Survey on Wallman Bases 
    García-Máynez, Adalberto (Universitat Politècnica de València, 2007-10-01)
    [EN] Wallman bases are frequently used in compactification processes of topological spaces. However, they are also related with quasi–uniform structures and they are useful to characterize some topological properties. We ...
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    Completions of pre–uniform spaces 
    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.
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    Extending maps between pre-uniform spaces 
    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 ...
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    Hausdorff closed extensions of pre-uniform spaces 
    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 ...