Turkish Journal of Mathematics
DOI
10.3906/mat-0902-2
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
First Page
207
Last Page
218
Recommended Citation
İÇEN, İLHAN; GÜRSOY, M. HABİL; and ÖZCAN, A. FATİH
(2011)
"Coverings of Lie groupoids,"
Turkish Journal of Mathematics: Vol. 35:
No.
2, Article 4.
https://doi.org/10.3906/mat-0902-2
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss2/4
