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On the density of the hyperspace of a metric space

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Publication Date
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Czech Digital Mathematics Library
Keywords
  • Keyword:Hyperspace
  • Keyword:Density
  • Keyword:Metric And Metrizable Space
  • Keyword:Hausdorff Metric Hypertopology
  • Keyword:Locally Finite Hypertopology
  • Keyword:Gtb Space
  • Keyword:Gk Space
  • Msc:54A25
  • Msc:54B20
  • Msc:54E35
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Abstract

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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