Coverings of internal groupoids and crossed modules in the category of groups with operations

DOI10.1515/GMJ-2013-0021zbMath1272.18005arXiv1601.07734OpenAlexW3103088805MaRDI QIDQ2836430

Hurmet Fulya Akiz, Osman Mucuk, Nazmiye Alemdar, Tunçar Şahan

Publication date: 3 July 2013

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07734

zbMATH Keywords

crossed moduleinternal groupoidinternal categorycovering groupoidgroup with operation

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Covering spaces and low-dimensional topology (57M10) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (15)

Coverings and liftings of generalized crossed modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Liftings and covering morphisms of crossed modules in group-groupoids ⋮ Covering morphisms of topological internal groupoids ⋮ Normality and quotient in crossed modules over groupoids and double groupoids ⋮ Further remarks on liftings of crossed modules ⋮ Group-groupoid actions and liftings of crossed modules ⋮ Derived crossed modules ⋮ Crossed modules, double group-groupoids and crossed squares ⋮ Actions of internal groupoids in the category of Leibniz algebras ⋮ Monodromy groupoid of a local topological group-groupoid ⋮ G-connectedness in topological groups with operations ⋮ Crossed semimodules and cat$^{\bf 1}$-monoids

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