Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/22032
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dc.contributor.authorXu, Xiaoquanen
dc.contributor.authorZhao, Dongshengen
dc.date.accessioned2020-03-25T02:52:30Z-
dc.date.available2020-03-25T02:52:30Z-
dc.date.issued2020-
dc.identifier.citationXu, X., & Zhao, D. (2020). On topological Rudin's lemma, well-filtered spaces and sober spaces. Topology and its Applications, 272, Article 107080. https://doi.org/10.1016/j.topol.2020.107080en
dc.identifier.issn0166-8641 (print)-
dc.identifier.issn1879-3207 (online)-
dc.identifier.urihttp://hdl.handle.net/10497/22032-
dc.descriptionThis is the final draft, after peer-review, of a manuscript published in Topology and Its Application. The published version is available online at https://doi.org/10.1016/j.topol.2020.107080en
dc.description.abstractBased on the topological Rudin's Lemma, we introduce the notions of Rudin set and well-filtered determined set in a topological space. Using such sets, we formulate and prove some new characterizations of well-filtered spaces and sober spaces. Part of the work was inspired by Xi and Lawson's work on well-filtered spaces. Our study also lead to the definition of a new class of spaces - the strong d-spaces, and some problems whose solutions will strengthen the understanding of the related structures.en
dc.language.isoenen
dc.subjectTopological Rudin's lemmaen
dc.subjectSober spaceen
dc.subjectwell-filtered spaceen
dc.subjectD-spaceen
dc.subjectStrong d-spaceen
dc.titleOn topological Rudin's Lemma, well-filtered spaces and sober spacesen
dc.typePostprinten
dc.identifier.doi10.1016/j.topol.2020.107080-
local.message.claim2021-12-23T13:11:28.869+0800|||rp00129|||submit_approve|||dc_contributor_author|||None*
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextOpen-
item.openairetypePostprint-
item.cerifentitytypePublications-
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