A note on some generalized closure and interior operators in a topological space

dc.contributor.authorGupta, A.
dc.contributor.authorSarma, R. D.
dc.coverage.issue1cs
dc.coverage.volume6cs
dc.date.accessioned2019-01-02T12:37:00Z
dc.date.available2019-01-02T12:37:00Z
dc.date.issued2017cs
dc.description.abstractIf X is a topological space and A X, then the number of distinct sets that can be obtained from A by using all possible compositions for operators i , c (where = ; ; ; ) introduced by Cs asz ar is at the most 25. Explicit expressions for these sets are provided. An example is provided where all the 25 di erent sets are determined. The result is also discussed for special cases such as when the space is extremally disconnected, resolvable, open-unresolvable, and partition spaces.en
dc.formattextcs
dc.format.extent11-20cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMathematics for Applications. 2017 vol. 6, č. 1, s. 11-20. ISSN 1805-3629cs
dc.identifier.doi10.13164/ma.2017.02en
dc.identifier.issn1805-3629
dc.identifier.urihttp://hdl.handle.net/11012/137251
dc.language.isoencs
dc.publisherVysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.relation.ispartofMathematics for Applicationsen
dc.relation.urihttp://ma.fme.vutbr.cz/archiv/6_1/ma_6_1_gupta_sarma_final.pdfcs
dc.rights© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematikycs
dc.rights.accessopenAccessen
dc.subjectgeneralized open setsen
dc.subject-openen
dc.subject-openen
dc.subject-openen
dc.subject-open setsen
dc.subjectclosure operatorsen
dc.subjectinterior operatorsen
dc.titleA note on some generalized closure and interior operators in a topological spaceen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.departmentÚstav matematikycs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
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