Displaying similar documents to “The compactness operator in general topology”

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.