Developable hyperspaces are metrizable

Developable hyperspaces are metrizable

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.

Bibliographic Details
Main Authors: L'Ubica Holá, Jan Pelant, László Zsilinszky
Format: Article
Language:English
Published: Universitat Politècnica de València 2003-10-01
Series:Applied General Topology
Subjects:
Developable spaces
Vietoris topology
Fell topology
Locally finite topology
Bounded Vietoris topology
Gδ-diagonal
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/2038

Internet

http://polipapers.upv.es/index.php/AGT/article/view/2038

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