On hyperspace topologies via distance functionals in quasi-metric spaces

DOI10.1007/s10474-006-0077-xzbMath1174.54345OpenAlexW2047417452MaRDI QIDQ858102

Jiling Cao, Jesús Rodríguez-López

Publication date: 8 January 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-006-0077-x

zbMATH Keywords

Vietoris topologyFell topologyWijsman topologyquasi-pseudo-metric\(\mathcal K\)-topologydistance functional

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Uniform structures and generalizations (54E15)

Related Items (5)

Completeness of hyperspaces of compact subsets of quasi-metric spaces ⋮ Weightable quasi-uniformities ⋮ \(\mathcal S\)-topologies and bounded convergences ⋮ Permutable pairs of quasi-uniformities ⋮ Pre-metric spaces along with different types of triangle inequalities

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