Coverings of Lie groupoids

İlhan İÇEN; M. Habil GÜRSOY; A. Fatih ÖZCAN

Article Details

Coverings of Lie groupoids

Authors:

İlhan İÇEN | M. Habil GÜRSOY | A. Fatih ÖZCAN

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2011 Vol.35 Issue 2, pp.207-218

Document Type:

Article

Publication Date:

1/2011

Document Language:

Turkish

Document ID (Org No.):

2000747969

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Keywords:

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.

 

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.

Article Details

Coverings of Lie groupoids

Authors:

İlhan İÇEN | M. Habil GÜRSOY | A. Fatih ÖZCAN

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2011 Vol.35 Issue 2, pp.207-218

Document Type:

Article

Publication Date:

1/2011

Document Language:

Turkish

Document ID (Org No.):

2000747969

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Lie groupoid

covering

action

lifting

Issues

Article Details

Coverings of Lie groupoids

Authors: İlhan İÇEN | M. Habil GÜRSOY | A. Fatih ÖZCAN

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2011 Vol.35 Issue 2, pp.207-218

Document Type: Article

Publication Date: 1/2011

Document Language: Turkish

Document ID (Org No.): 2000747969

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Lie groupoid

covering

action

lifting

Issues

Authors:

İlhan İÇEN | M. Habil GÜRSOY | A. Fatih ÖZCAN

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2011 Vol.35 Issue 2, pp.207-218

Document Type:

Article

Publication Date:

1/2011

Document Language:

Turkish

Document ID (Org No.):

2000747969

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098