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.
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
Keywords: hyperspace; density; metric and metrizable space; Hausdorff metric hypertopology; locally finite hypertopology; GTB space; GK space
@article{CMUC_1997_38_2_a15,
author = {Barbati, A. and Costantini, C.},
title = {On the density of the hyperspace of a metric space},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {349--360},
year = {1997},
volume = {38},
number = {2},
mrnumber = {1455502},
zbl = {0886.54007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1997_38_2_a15/}
}
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/