Developable hyperspaces are metrizable

L'Ubica Holá; Jan Pelant; László Zsilinszky

doi:10.4995/agt.2003.2038

Authors

L'Ubica Holá Academy of Sciences
Jan Pelant Czech Academy of Sciences
László Zsilinszky University of North Carolina at Pembroke

DOI:

https://doi.org/10.4995/agt.2003.2038

Keywords:

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

Abstract

Developability of hyperspace topologies (locally finite, (bounded) Vietoris, Fell, respectively) on the nonempty closed sets is characterized. Submetrizability and having a G_δ-diagonal in the hyperspace setting is also discussed.

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Author Biographies

L'Ubica Holá, Academy of Sciences

Institute of Mathematics

Jan Pelant, Czech Academy of Sciences

Mathematical Institute

László Zsilinszky, University of North Carolina at Pembroke

Department of Mathematics and Computer Science

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