Topological ring-groupoids and liftings

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dc.authoridÖzcan, Abdullah Fatih/0000-0001-9732-8026;
dc.authorwosidÖzcan, Abdullah Fatih/AAA-3108-2021
dc.authorwosidicen, ilhan/AAA-7082-2021
dc.authorwosidGürsoy, Mustafa Habil/ABI-2795-2020
dc.contributor.authorOzcan, A. Fatih
dc.contributor.authorIcen, I.
dc.contributor.authorGursoy, M. Habil
dc.date.accessioned2024-08-04T20:30:49Z
dc.date.available2024-08-04T20:30:49Z
dc.date.issued2006
dc.departmentİnönü Üniversitesien_US
dc.description.abstractWe prove that the set of homotopy classes of the paths in a topological ring is a topological ring object (called topological ring-groupoid). Let p : (X) over bar -> X be a covering map and let X be a topological ring. We define a category. UTRCov(X) of coverings of X in which both X and have universal coverings, and a category UTRGdCov(pi X-1) of coverings of topological ring-groupoid pi X-1, in which X and (R) over bar (0) = (X) over bar have universal coverings, and then prove the equivalence of these categories. We also prove that the topological ring structure of a topological ring-groupoid lifts to a universal topological covering groupoid.en_US
dc.identifier.endpage362en_US
dc.identifier.issn1028-6276
dc.identifier.issueA3en_US
dc.identifier.scopus2-s2.0-43749086835en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage355en_US
dc.identifier.urihttps://hdl.handle.net/11616/94547
dc.identifier.volume30en_US
dc.identifier.wosWOS:000251342900012en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherShiraz Univen_US
dc.relation.ispartofIranian Journal of Science and Technology Transaction A-Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectfundamental groupoidsen_US
dc.subjecttopological coveringsen_US
dc.subjecttopological ring-groupoidsen_US
dc.titleTopological ring-groupoids and liftingsen_US
dc.typeArticleen_US

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