Coverings of Lie groupoids


İÇEN İ., GÜRSOY M. H., ÖZCAN A. F.

TURKISH JOURNAL OF MATHEMATICS, cilt.35, sa.2, ss.207-218, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 2
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3906/mat-0902-2
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.207-218
  • İnönü Üniversitesi Adresli: Evet

Özet

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.