The relationship between the Vietoris topology and the Hausdorff quasi-uniformity

DOI10.1016/S0166-8641(01)00252-8zbMath1020.54017MaRDI QIDQ1862064

Jesús Rodríguez-López, Salvador Romaguera

Publication date: 10 March 2003

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

zbMATH Keywords

Vietoris topologyquasi-metricPervin quasi-uniformityPervin quasi-proximity classhereditarily precompactHausdorff quasi-uniformityequinormalproximal topologyuqu space

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Uniform structures and generalizations (54E15)

Related Items (14)

Some notes on induced functions and group actions on hyperspaces ⋮ On Uniformly Locally Compact Quasi-Uniform Hyperspaces ⋮ Hyperspace of a fuzzy quasi-uniform space ⋮ Uniform structures in the beginning of the third millenium ⋮ Hyperspaces of a weightable quasi-metric space: application to models in the theory of computation ⋮ Some properties of bornological convergences ⋮ Long exact sequences of homology groups of étale groupoids ⋮ Conjugate families of mappings in pointwise metric fuzzy lattices ⋮ Completeness of hyperspaces of compact subsets of quasi-metric spaces ⋮ Infima of quasi-uniform anti-atoms ⋮ The Hausdorff fuzzy quasi-metric ⋮ The bicompletion of the Hausdorff quasi-uniformity ⋮ Conjugate topology of pointwise metric molecular lattices ⋮ FIXED POINT THEOREMS FOR MULTIVALUED NON-LINEAR <i>F</i>-CONTRACTIONS ON QUASI METRIC SPACES WITH AN APPLICATION

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• Topologies on Spaces of Subsets

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