The quasi-metrizability of hyperspaces

DOI10.1016/j.topol.2023.108665zbMath1530.54009arXiv2304.03455MaRDI QIDQ6049946

Chu-An Liu, Fucai Lin

Publication date: 18 September 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.03455

zbMATH Keywords

hyperspacemetrizable spacehemicompact\(\Gamma\)-spacequasi-metrizable space

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Compact (locally compact) metric spaces (54E45)

Cites Work

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• The complexity probabilistic quasi-metric space
• Domain representability of metric spaces
• Recursive quasi-metric spaces.
• A note on hyperspaces by closed sets with Vietoris topology
• Hyperspaces with a countable character of closed subsets
• The Locally Finite Topology on 2 X
• Fine Uniformity and the Locally Finite Hyperspace Topology
• Developable hyperspaces are metrizable

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