The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Localic completion of generalized metric spaces I.”

On a Class of D-Cauchy Filters

Császár, Ákos (1998)

Serdica Mathematical Journal

Similarity:

∗ 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.

Cofinal completeness of the Hausdorff metric topology

Gerald Beer, Giuseppe Di Maio (2010)

Fundamenta Mathematicae

Similarity:

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...