On the dissonance of some metrizable spaces

DOI10.1016/S0166-8641(97)00096-5zbMath0966.54005OpenAlexW2062506417MaRDI QIDQ1295337

Camillo Costantini, W. Stephen Watson

Publication date: 24 June 1999

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00096-5

zbMATH Keywords

sequential spacecocompact topologyseparable metrizable spacesscattered compact space0-dimensional spacedissonantupper Kuratowski convergenceupper Kuratowski topology

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Sequential spaces (54D55) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Scattered spaces (54G12)

Related Items (12)

Some open problems on well-filtered spaces and sober spaces ⋮ Tightness, character and related properties of hyperspace topologies ⋮ Separating minimal valuations, point-continuous valuations, and continuous valuations ⋮ Unnamed Item ⋮ Consonance and Cantor set-selectors ⋮ \({\mathbf H}\)-trivial spaces ⋮ First-countability, sequentiality and tightness of the upper Kuratowski convergence ⋮ Variations of consonance and the rational numbers ⋮ An infraconsonant nonconsonant completely regular space ⋮ Base-complexity classifications of qcb0-spaces1 ⋮ Coincidence of function space topologies ⋮ Coincidence of the upper Kuratowski topology with the co-compact topology on compact sets, and the Prohorov property

Cites Work

• Unnamed Item
• Distance functionals and suprema of hyperspace topologies
• Borel measures in consonant spaces
• When does the Fell topology on a hyperspace of closed sets coincide with the meet of the upper Kuratowski and the lower Vietoris topologies?
• Espaces héréditairement de Baire
• On The Infimum of the Hausdorff Metric Topologies
• When do the Upper Kuratowski Topology (Homeomorphically, Scott Topology) and the Co-compact Topology Coincide?

This page was built for publication: On the dissonance of some metrizable spaces