Crossed module aspects of monodromy groupoids for internal groupoids
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CitationMucuk, O., Demir, S. ve Şahan, T. (2019). Crossed module aspects of monodromy groupoids for internal groupoids. International Conference of Mathematical Sciences (ICMS 2019). s. 24.
The notion of monodromy groupoid was introduced by J. Pradines in  to generalize the standard construction of a simply connected Lie group from a Lie algebra to a construction of a Lie groupoid from a Lie algebroid and has been developed by many others. The categorical equivalence between internal groupoids and crossed modules in groups with operations is known by  as a generalization of an equivalence of crossed modules within groups and group-groupoids . In this work using the former equivalence and techniques of crossed modules we give a construction of the monodromy groupoid for topological internal groupoids within groups with operations including groups, rings, associative algebras, associative commutative algebras, Lie algebras, Leibniz algebras, alternative algebras and some others.
SourceInternational Conference of Mathematical Sciences (ICMS 2019)
- Makale Koleksiyonu 
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