Coverings of Lie groupoids

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Küçük Resim

Tarih

2011

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.