Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/23336
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dc.contributor.authorXu, Xiaoquanen
dc.contributor.authorShen, Chongen
dc.contributor.authorXi, Xiaoyongen
dc.contributor.authorZhao, Dongshengen
dc.date.accessioned2021-08-27T09:26:38Z-
dc.date.available2021-08-27T09:26:38Z-
dc.date.issued2021-
dc.identifier.citationXu, X., Shen, C., Xi, X., & Zhao, D. (2021). First-countability, ω-Rudin spaces and well-filtered determined spaces. Topology and its Applications, 300, Article 107775. https://doi.org/10.1016/j.topol.2021.107775en
dc.identifier.issn0166-8641-
dc.identifier.urihttp://hdl.handle.net/10497/23336-
dc.description.abstractIn this paper, we investigate some versions of d-space, well-filtered space and Rudin space concerning various countability properties. It is proved that every space with a first-countable sobrification is an ω-Rudin space and every first-countable space is well-filtered determined. Therefore, every ω-well-filtered space with a first-countable sobrification is sober. It is also shown that every irreducible closed subset in a first-countable ω-well-filtered space is countably directed, hence every first-countable ω*-well-filtered d-space is sober.-
dc.language.isoenen
dc.relation.ispartofTopology and its Applicationsen
dc.subjectFirst-countabilityen
dc.subjectSober spaceen
dc.subjectWell-filtered spaceen
dc.subjectω-Rudin spaceen
dc.subjectω-Well-filtered spaceen
dc.subjectCountably directed seten
dc.titleFirst-countability, ω-Rudin spaces and well-filtered determined spacesen
dc.typeArticleen
dc.description.versionAccepted versionen
dc.identifier.doi10.1016/j.topol.2021.107775-
local.message.claim2021-12-23T13:11:28.869+0800|||rp00129|||submit_approve|||dc_contributor_author|||None*
item.openairetypeArticle-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.fulltextWith file-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextEmbargo_20230901-
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