Turkish Journal of Mathematics
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.
DOI
10.3906/mat-0902-2
Keywords
Lie groupoid, covering, action, lifting
First Page
207
Last Page
218
Recommended Citation
İÇEN, İ, GÜRSOY, M. H, & ÖZCAN, A. F (2011). Coverings of Lie groupoids. Turkish Journal of Mathematics 35 (2): 207-218. https://doi.org/10.3906/mat-0902-2
