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On the Menger and almost Menger properties in locales

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On the Menger and almost Menger properties in locales

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dc.contributor.author Bayih, Tilahun es_ES
dc.contributor.author Dube, Themba es_ES
dc.contributor.author Ighedo, Oghenetega es_ES
dc.date.accessioned 2021-04-16T09:22:29Z
dc.date.available 2021-04-16T09:22:29Z
dc.date.issued 2021-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/165253
dc.description.abstract [EN] The Menger and the almost Menger properties are extended to locales. Regarding the former, the extension is conservative (meaning that a space is Menger if and only if it is Menger as a locale), and the latter is conservative for sober TD-spaces. Non-spatial Menger (and hence almost Menger) locales do exist, so that the extensions genuinely transcend the topological notions. We also consider projectively Menger locales, and show that, as in spaces, a locale is Menger precisely when it is Lindelöf and projectively Menger. Transference of these properties along localic maps (via direct image or pullback) is considered. es_ES
dc.description.sponsorship The second-named author acknowledges funding from the National Research Foundation of South Africa under Grant 113829. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Menger es_ES
dc.subject Almost Menger es_ES
dc.subject Frame es_ES
dc.subject Locale es_ES
dc.subject Sublocale es_ES
dc.subject Spectrum of a frame es_ES
dc.title On the Menger and almost Menger properties in locales es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.14915
dc.relation.projectID info:eu-repo/grantAgreement/NRF//113829/ es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Bayih, T.; Dube, T.; Ighedo, O. (2021). On the Menger and almost Menger properties in locales. Applied General Topology. 22(1):199-221. https://doi.org/10.4995/agt.2021.14915 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.14915 es_ES
dc.description.upvformatpinicio 199 es_ES
dc.description.upvformatpfin 221 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\14915 es_ES
dc.contributor.funder National Research Foundation, South Africa es_ES
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