Geodesic
Relative Compactness for Hyperspaces
Serdica Mathematical Journal, Tome 25 (1999) no. 1, pp. 11-18.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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.
Keywords: Hyperspaces Topologies, Relative Compactness, Sup Measures, Gap Functional 
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Sianesi, Francesca. Relative Compactness for Hyperspaces. Serdica Mathematical Journal, Tome 25 (1999) no. 1, pp. 11-18. http://geodesic.mathdoc.fr/item/SMJ2_1999_25_1_a2/