The Hurewicz property and the Vietoris hyperspace

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dc.contributor.authorCaruvana, Christopher
dc.date.accessioned2026-04-08T18:16:03Z
dc.date.available2026-04-08T18:16:03Z
dc.date.issued2023-10-01
dc.description.abstractIn this note, we characterize when the Vietoris space of compact subsets of a given space has the Hurewicz property in terms of a selection principle on the given space itself using k-covers and the notion of groupability introduced by Kočinac and Scheepers. We comment that the same technique establishes another equivalent condition to a space being Hurewicz in each of its finite powers. We end with some characterizations involving spaces of continuous functions and answer a question posed by Kočinac.
dc.identifier.citationCaruvana, C. (2023). The Hurewicz property and the Vietoris hyperspace. Topology and Its Applications, 338. Article 108670. https://doi-org./10.1016/j.topol.2023.108670
dc.identifier.doihttps://doi.org/10.1016/j.topol.2023.108670
dc.identifier.urihttps://hdl.handle.net/2022/34808
dc.language.isoen_US
dc.publisherElsevier B.V.
dc.relation.journalTopology and its Applications
dc.rightsThis work is licensed under CC BY-NC-ND: You are free to copy and redistribute the material in any format, as long as you give appropriate credit to the original creator and provide a link to the license. You may not use this work for commercial purpose. If you remix, transform, or build upon the material, you may not distribute the modified material.
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectHurewicz selection principle
dc.subjectVietoris topology
dc.subjectω-covers
dc.subjectk-covers
dc.subjectGroupable covers
dc.subjectReznichenko property
dc.subjectCountable fan-tightness
dc.subjectCp-theory
dc.subjectCk-theory
dc.titleThe Hurewicz property and the Vietoris hyperspace
dc.typeArticle

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