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dc.contributor.author | Golrizkhatami, F. | es_ES |
dc.contributor.author | Taherifar, Ali | es_ES |
dc.date.accessioned | 2022-05-25T06:41:38Z | |
dc.date.available | 2022-05-25T06:41:38Z | |
dc.date.issued | 2022-04-01 | |
dc.identifier.issn | 1576-9402 | |
dc.identifier.uri | http://hdl.handle.net/10251/182878 | |
dc.description.abstract | [EN] An almost P-space is a topological space in which every zero-set is regular-closed. We introduce a large class of spaces, C-almost P-space (briefly CAP-space), consisting of those spaces in which the closure of the interior of every zero-set is a zero-set. In this paper we study CAP-spaces. It is proved that if X is a dense and Z#-embedded subspace of a space T, then T is CAP if and only if X is a CAP and CRZ-extended in T (i.e, for each regular-closed zero-set Z in X, clTZ is a zero-set in T). In 6P.5 of [8] it was shown that a closed countable union of zero-sets need not be a zero-set. We call X a CZ-space whenever the closure of any countable union of zero-sets is a zero-set. This class of spaces contains the class of P-spaces, perfectly normal spaces, and is contained in the cozero complemented spaces and CAP-spaces. In this paper we study topological properties of CZ (resp. cozero complemented)-space and other classes of topological spaces near to them. Some algebraic and topological equivalent conditions of CZ (resp. cozero complemented)-space are characterized. Examples are provided to illustrate and delimit our results. | 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 | Zero-set | es_ES |
dc.subject | Almost P-space | es_ES |
dc.subject | Compact space | es_ES |
dc.subject | Z-embedded subset | es_ES |
dc.title | Some classes of topological spaces related to zero-sets | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.4995/agt.2022.15668 | |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Golrizkhatami, F.; Taherifar, A. (2022). Some classes of topological spaces related to zero-sets. Applied General Topology. 23(1):1-16. https://doi.org/10.4995/agt.2022.15668 | es_ES |
dc.description.accrualMethod | OJS | es_ES |
dc.relation.publisherversion | https://doi.org/10.4995/agt.2022.15668 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 16 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 23 | es_ES |
dc.description.issue | 1 | es_ES |
dc.identifier.eissn | 1989-4147 | |
dc.relation.pasarela | OJS\15668 | es_ES |
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