On metrization of hyperspaces
Flachsmeyer, Jürgen
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Displaying similar documents to “Normal Vietoris implies compactness: a short proof”
On metrization of hyperspaces
The compactness operator in general topology
de Groot, J.
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Relative compactness and recent common generalizations of metric and locally compact spaces
Z. Balogh (1978)
Fundamenta Mathematicae
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Relative Compactness for Hyperspaces
Sianesi, Francesca (1999)
Serdica Mathematical Journal
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The present paper contains results characterizing relatively compact subsets of the space of the closed subsets of a metrizable space, equipped with various hypertopologies. We investigate the hyperspace topologies that admit a representation as weak topologies generated by families of gap functionals defined on closed sets, as well as hit-and-miss topologies and proximal-hit and-miss topologies.