A question related to the Isbell problem

DOI10.1016/j.topol.2013.07.013zbMath1281.54005OpenAlexW2019388738MaRDI QIDQ387229

Marco Rosa, Paolo Vitolo

Publication date: 20 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.07.013

zbMATH Keywords

uniformityproximityprecompactness(lower) Hausdorff (quasi-) uniform hypertopology(lower) Hausdorff metric hypertopologyIsbell problemstrong uniform continuity

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Topological spaces and generalizations (closure spaces, etc.) (54A05) Uniform structures and generalizations (54E15) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Proximity structures and generalizations (54E05) Local compactness, (sigma)-compactness (54D45)

Related Items (4)

On the selection problem for ``metric-proximal hyperspaces ⋮ Bornological convergences on the hyperspace of a uniformizable space ⋮ Proximally well-monotone covers and \(QH\)-singularity ⋮ \textit{QH}-singularity of partially ordered spaces

Cites Work

• Iterations of quasi-uniform hyperspace constructions
• Uniformities with the same Hausdorff hypertopology
• Strong uniform continuity
• On H-equivalence of uniformities (the Isbell-Smith problem)
• Uniform Continuity on Bounded Sets and the Attouch-Wets Topology
• Uniform Properties and Hyperspaces of Metrizable Spaces
• Topologies on Spaces of Subsets
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