Geodesic
On the density of the hyperspace of a metric space
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 349-360.

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We calculate the density of the hyperspace of a metric space, endowed with the Hausdorff or the locally finite topology. To this end, we introduce suitable generalizations of the notions of totally bounded and compact metric space.
Classification : 54A25, 54B20, 54E35
Keywords: hyperspace; density; metric and metrizable space; Hausdorff metric hypertopology; locally finite hypertopology; GTB space; GK space 
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     title = {On the density of the hyperspace of a metric space},
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Barbati, A.; Costantini, C. On the density of the hyperspace of a metric space. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 349-360. http://geodesic.mathdoc.fr/item/CMUC_1997__38_2_a15/