Coverings of Lie groupoids

Authors : Ilhan Içen, M. Habil Gürsoy, A. Fatih Özcan

Pages : 207-218

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :In this work we constitute the category of coverings of the Lie fundamental groupoid associated with a connected smooth manifold. We show that this category is equivalent to the category of universal coverings of a connected smooth manifold. In addition, we prove the equivalence of the category of coverings of a Lie groupoid and the category of actions of this Lie groupoid on a connected smooth manifold. Also we present two side results related to actions of Lie groupoids on the manifolds and coverings of Lie groupoids.
Keywords : Lie groupoid, covering, action, lifting