Cohomology Theory for Digital Images

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dc.contributor.authorEge, Ozgur
dc.contributor.authorKaraca, Ismet
dc.date.accessioned2019-10-27T21:42:29Z
dc.date.available2019-10-27T21:42:29Z
dc.date.issued2013
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this paper we propose a mathematical framework that can be used for de fining cohomology of digital images. We state the Eilenberg-Steenrod axioms and the Universal Coefficient Theorem for this cohomology theory. We show that the Kunneth formula doesn't hold. A cup product is defined and its main properties are proved.en_US
dc.identifier.endpage28en_US
dc.identifier.issn1453-8245
dc.identifier.issn1453-8245en_US
dc.identifier.issue1en_US
dc.identifier.startpage10en_US
dc.identifier.urihttps://hdl.handle.net/11454/46903
dc.identifier.volume16en_US
dc.identifier.wosWOS:000328194800002en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherEditura Acad Romaneen_US
dc.relation.ispartofRomanian Journal of Information Science and Technologyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDigital imageen_US
dc.subjectdigital simplicial cohomology groupen_US
dc.subjectUniversal Coefficient Theoremen_US
dc.subjectKunneth formulaen_US
dc.subjectcup producten_US
dc.titleCohomology Theory for Digital Imagesen_US
dc.typeArticleen_US

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