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Keywords:
hyperspace; density; metric and metrizable space; Hausdorff metric hypertopology; locally finite hypertopology; GTB space; GK space
hyperspace; density; metric and metrizable space; Hausdorff metric hypertopology; locally finite hypertopology; GTB space; GK space
Summary:
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.
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