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Öğe Crossed module aspects of monodromy groupoids for topological internal groupoids(American Institute Physics, 2019) Mucuk, Osman; Demir, Serap; Şahan, TunçarIn this extended abstract we state the topological version of categorical equivalence between internal groupoids and crossed modules in the category of groups with operations; and explain how to develop crossed module aspect of monodromy groupoids for topological internal groupoids.Öğe Normality and quotient of crossed modules within group with operations(American Institute Physics, 2019) Şahan, Tunçar; Mucuk, OsmanIn this note we define the notions of normal subcrossed module and quotient crossed module within groups with opera-tions; and give same results on these crossed modules. © 2019 Author(s).Öğe Group-groupoids and crossed module aspects of monodromy groupoids(American Institute Physics, 2019) Mucuk, Osman; Demir, Serap; Şahan, TunçarIn this extended abstract considering the topological version of categorical equivalence of crossed modules and group-groupoids we develop crossed module aspects of monodromy group-groupoids for topological group-groupoids and give some examples for monodromy groupoids. © 2019 Author(s).Öğe Quotients of monodromy groupoids(American Institute Physics, 2019) Mucuk, Osman; Şahan, TunçarIn this note we explain how to develop the quotient groupoid of the monodromy groupoid for given a topological group-groupoid using crossed modules. © 2019 Author(s).Öğe Internal groupoid actions and liftings of crossed modules within groups with operations(American Institute Physics, 2019) Akız, Hürmet Fulya; Mucuk, Osman; Şahan, TunçarIn this extended abstract we define the notion of lifting of a crossed module in groups with operations and state some properties of this type of liftings. Furthermore for a certain crossed module we give a categorical equivalence between the lifting of crossed modules and internal groupoid actions in groups with operations. © 2019 Author(s).