Developable hyperspaces are metrizable
Submitted: 2013-12-17
|Accepted: 2013-12-17
|Published: 2003-10-01
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Keywords:
Developable spaces, Vietoris topology, Fell topology, Locally finite topology, Bounded Vietoris topology, Gδ-diagonal
Supporting agencies:
GACR 201/00/1466.
Abstract:
Developability of hyperspace topologies (locally finite, (bounded) Vietoris, Fell, respectively) on the nonempty closed sets is characterized. Submetrizability and having a Gδ-diagonal in the hyperspace setting is also discussed.
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