Developable hyperspaces are metrizable

L'Ubica Holá, Jan Pelant, László Zsilinszky

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.


Keywords

Developable spaces; Vietoris topology; Fell topology; Locally finite topology; Bounded Vietoris topology; Gδ-diagonal

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