Coverings of Lie groupoids
Yükleniyor...
Dosyalar
Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Turkish Journal of Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
35
Sayı
2
Künye
İÇEN İ,GÜRSOY M. H,ÖZCAN A. F (2011). Coverings of Lie groupoids. Turkish Journal of Mathematics, 35(2), 207 - 218.