Akademik Veri Yönetim Sistemi
TURKISH JOURNAL OF MATHEMATICS, cilt.35, sa.2, ss.207-218, 2011 (SCI-Expanded)
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.