A completion functor for Cauchy groups.
Fric, R., Kent, Darrell C. (1981)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Localic completion of generalized metric spaces I.”
A completion functor for Cauchy groups.
Uniformizable Cauchy spaces.
Lowen-Colebunders, Eva (1982)
International Journal of Mathematics and Mathematical Sciences
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Completion of a Cauchy space without the -restriction on the space.
Rath, Nandita (2000)
International Journal of Mathematics and Mathematical Sciences
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A counterexample in semimetric spaces.
Jesús M. Fernández Castillo, Francisco Montalvo (1990)
Extracta Mathematicae
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Completion functors for Cauchy spaces.
Fric, R., Kent, Darrell C. (1979)
International Journal of Mathematics and Mathematical Sciences
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The cartesian closed topological hull of the category of completely regular filterspaces
H. L. Bentley, E. Lowen-Colebunders (1992)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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On a Class of D-Cauchy Filters
Császár, Ákos (1998)
Serdica Mathematical Journal
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∗ Research supported by Hungarian National Foundation for Scientific Research, Grant No T 016094. In a quasi-uniform space, firmly D-Cauchy filters are introduced and they role in constructing firm extensions is investigated.
A generalisation of almost-compactness, with an associated generalisation of completeness
A. J. Ward (1975)
Czechoslovak Mathematical Journal
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The regularity series of a Cauchy space.
Kent, Darrell C. (1984)
International Journal of Mathematics and Mathematical Sciences
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Cofinal completeness of the Hausdorff metric topology
Gerald Beer, Giuseppe Di Maio (2010)
Fundamenta Mathematicae
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A net in a Hausdorff uniform space is called cofinally Cauchy if for each entourage, there exists a cofinal (rather than residual) set of indices whose corresponding terms are pairwise within the entourage. In a metric space equipped with the associated metric uniformity, if each cofinally Cauchy sequence has a cluster point, then so does each cofinally Cauchy net, and the space is called cofinally complete. Here we give necessary and sufficient conditions for the nonempty closed subsets...