Defective topological spaces: A novel framework for topological spaces with incomplete information [2]

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dc.contributor.authorEkmekci, Ramazan
dc.contributor.authorKorkmaz, Esra
dc.date.accessioned2025-10-11T20:47:37Z
dc.date.available2025-10-11T20:47:37Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractRecent years have seen a surge of interest in representing and reasoning about uncertain information through extended versions of classical mathematical techniques. In this paper, we introduce the concept of defective topological spaces, which is a novel theory motivated by the problem of approaching a topological space with incomplete knowledge of its open sets. In order to address this problem, we define the concepts of exactly and possibly open sets. Furthermore, we investigate the categorical structure of defective topological spaces, and extend several concepts from classical topological spaces, including continuity, convergence, and separation axioms to defective topological spaces.en_US
dc.identifier.doi10.5269/bepm.68515
dc.identifier.issn0037-8712
dc.identifier.issn2175-1188
dc.identifier.urihttps://doi.org/10.5269/bepm.68515
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21483
dc.identifier.volume43en_US
dc.identifier.wosWOS:001572460500028en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherSoc Paranaense Matematicaen_US
dc.relation.ispartofBoletim Sociedade Paranaense De Matematicaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectExactly open setsen_US
dc.subjectpossibly open setsen_US
dc.subjectdefective topological spacesen_US
dc.subjectincomplete informationen_US
dc.titleDefective topological spaces: A novel framework for topological spaces with incomplete information [2]en_US
dc.typeArticleen_US

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