On the topological generalized crossed modules

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dc.authorwosidGürsoy, Mustafa Habil/ABI-2795-2020
dc.contributor.authorGursoy, Mustafa Habil
dc.date.accessioned2024-08-04T20:51:46Z
dc.date.available2024-08-04T20:51:46Z
dc.date.issued2021
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, we define the topological versions of the concepts of crossed module over generalized groups, which is called generalized crossed module, and generalized group-groupoid. We construct the categories of the topological generalized crossed modules and their homomorphisms and of the topological generalized group-groupoid and homomorphisms between them. We also obtain some characterizations related to the concepts of topological generalized crossed module and topological generalized group-groupoid. Finally, at the end of the work, we prove that the category of topological generalized crossed modules is equivalent to that of topological generalized group-groupoids whose object sets are commutative topological generalized groups.en_US
dc.identifier.endpage193en_US
dc.identifier.issn1223-6934
dc.identifier.issn2246-9958
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85126653718en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage183en_US
dc.identifier.urihttps://hdl.handle.net/11616/100543
dc.identifier.volume48en_US
dc.identifier.wosWOS:000738363600001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Craiovaen_US
dc.relation.ispartofAnnals of The University of Craiova-Mathematics and Computer Science Seriesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTopological groupen_US
dc.subjecttopological generalized groupen_US
dc.subjectgeneralized actionen_US
dc.subjectcrossed moduleen_US
dc.subjectgeneralized crossed moduleen_US
dc.subjectgeneralized group-groupoiden_US
dc.titleOn the topological generalized crossed modulesen_US
dc.typeArticleen_US

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