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Wijsman topology on function spaces

Rendiconti del Circolo Matematico di Palermo, 1997
Let \(X\) and \(Y\) be metric spaces and let \(X\times Y\) be assigned the product box metric. Let each continuous function on \(X\) to \(Y\) be identified with its graph, a subset of \(X\times Y\). The authors study on the space of continuous functions, the topology induced on their graphs, by the Wijsman hyperspace topology on \(\text{CL} (X\times Y)\
Di Maio, Giuseppe, Holá, Ľubica
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Wijsman and Hit-and-Miss Topologies of Quasi-Metric Spaces

Set-Valued Analysis, 2003
The authors study the relationship between the Wijsman topology and (proximal) hit-and-miss topologies on hyperspaces of quasi-metric spaces. They establish the equivalence of these hypertopologies in terms of Urysohn families of sets. They also show that for quasi-metric spaces \((X,d)\), the Hausdorff extended quasi-pseudo-metric is compatible with ...
Rodríguez-López, Jesús, Romaguera, Salvador   +1 more
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A study on the normality of Wijsman topology of a fuzzy metric space

Soft Computing, 2022
Zia Bashir, Asad Ullah
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