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Intrinsic characterizations of C-realcompact spaces

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Intrinsic characterizations of C-realcompact spaces

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dc.contributor.author Acharyya, Sudip Kumar es_ES
dc.contributor.author Bharati, Rakesh es_ES
dc.contributor.author Deb Ray, Atasi es_ES
dc.date.accessioned 2021-10-07T07:06:32Z
dc.date.available 2021-10-07T07:06:32Z
dc.date.issued 2021-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/174080
dc.description.abstract [EN] c-realcompact spaces are introduced by Karamzadeh and Keshtkar in Quaest. Math. 41, no. 8 (2018), 1135-1167. We offer a characterization of these spaces X via c-stable family of closed sets in X by showing that  X is c-realcompact if and only if each c-stable family of closed sets in X with finite intersection property has nonempty intersection. This last condition which makes sense for an arbitrary topological space can be taken as an alternative definition of a c-realcompact space. We show that each topological space can be extended as a dense subspace to a c-realcompact space with some desired extension properties. An allied class of spaces viz CP-compact spaces akin to that of c-realcompact spaces are introduced. The paper ends after examining how far a known class of c-realcompact spaces could be realized as CP-compact for appropriately chosen ideal P of closed sets in X. es_ES
dc.description.sponsorship University Grand Commission, New Delhi, research fellowship (F. No. 16-9 (June 2018)/2019 (NET/CSIR)) 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 C-realcompact spaces es_ES
dc.subject Banaschewski compactification es_ES
dc.subject C-stable family of closed sets es_ES
dc.subject Ideals of closed sets es_ES
dc.subject Initially θ-compact spaces es_ES
dc.title Intrinsic characterizations of C-realcompact spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.13696
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Acharyya, SK.; Bharati, R.; Deb Ray, A. (2021). Intrinsic characterizations of C-realcompact spaces. Applied General Topology. 22(2):295-302. https://doi.org/10.4995/agt.2021.13696 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.13696 es_ES
dc.description.upvformatpinicio 295 es_ES
dc.description.upvformatpfin 302 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\13696 es_ES
dc.contributor.funder University of Delhi es_ES
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