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Further aspects of Ik-convergence in topological spaces

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Further aspects of Ik-convergence in topological spaces

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dc.contributor.author Sharmah, Ankur es_ES
dc.contributor.author Hazarika, Debajit es_ES
dc.date.accessioned 2021-10-06T07:11:31Z
dc.date.available 2021-10-06T07:11:31Z
dc.date.issued 2021-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/173911
dc.description.abstract [EN] In this paper, we obtain some results on the relationships between different ideal convergence modes namely, I K, I K∗ , I, K, I ∪ K and (I ∪K) ∗ . We introduce a topological space namely I K-sequential space and show that the class of I K-sequential spaces contain the sequential spaces. Further I K-notions of cluster points and limit points of a function are also introduced here. For a given sequence in a topological space X, we characterize the set of I K-cluster points of the sequence as closed subsets of X. es_ES
dc.description.sponsorship The first author would like to thank the University Grants Comission (UGC) for awarding the junior research fellowship vide UGC Ref. No.: 1115/(CSIR-UGC NET DEC. 2017), India. 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 I-convergence es_ES
dc.subject I K-convergence es_ES
dc.subject I K∗ -convergence es_ES
dc.subject I K-sequential space es_ES
dc.subject I K-cluster point es_ES
dc.title Further aspects of Ik-convergence in topological spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.14868
dc.relation.projectID info:eu-repo/grantAgreement/UGC//1115/CSIR-UGC NET DEC. 2017/ es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Sharmah, A.; Hazarika, D. (2021). Further aspects of Ik-convergence in topological spaces. Applied General Topology. 22(2):355-366. https://doi.org/10.4995/agt.2021.14868 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.14868 es_ES
dc.description.upvformatpinicio 355 es_ES
dc.description.upvformatpfin 366 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\14868 es_ES
dc.contributor.funder University Grants Commission, India es_ES
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