Local group-groupoids

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dc.authorid0000-0001-7411-2871en_US
dc.contributor.authorMucuk, Osman
dc.contributor.authorBağrıyanık, Berrin
dc.contributor.authorAy, Yeşim H.
dc.date.accessioned2024-07-12T20:51:49Z
dc.date.available2024-07-12T20:51:49Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe theory of covering groupoids plays an important role in the applications of groupoids (cf. [1], [5]). There are two important results about group-groupoids given in [2]. One is that if X is a topological group whose underlying space has a universal cover, then the category T GCov/X of topological group covers of X is equivalent to the category GpGpdCov/?1X of group-groupoid covers of ?1X. The other is that if G is a group-groupoid, then the category the category GpGdCov/G of covering morphisms over G is equivalent to the category GpGdAct(G) of group-groupoid actions of G on groups is equivalent to equivalent. In this paper we introduce the notion of a local group-groupoid as a local group object in the category of gorupoids and prove local group-groupoid version of these results. For the first result we prove that if L is a local topological group, whose underlying topology has a universal cover, then the category LT GCov/L of local topological covers of L and the category LGGdCov/?1(L) of local group-groupoid covers of ?1(L) are equivalent. For the second result we prove that if G is a local group-groupoid, then the category LGpGdCov/G of local groupgroupoid covers is equivalent to the category LGpGdAct(G) of local group-groupoid actions of G on local groups.en_US
dc.identifier.citationMucuk, O., Ay, H. Y. ve Bağrıyanık, B. (2009). Local Group-Groupoids. Maltepe Üniversitesi. s. 315.en_US
dc.identifier.endpage316en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage315en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2478
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07843
dc.titleLocal group-groupoidsen_US
dc.typeConference Object
dspace.entity.typePublication

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