2009/02/17 by Mustafa Habil Gürsoy, M. Habil Gürsoy, Gürsoy, M. Habil +6 · 1 citation
Mathematics · Medicine · #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #math.AT #math.GT #msc:22A22 #msc:57M10
paper · pdf · doi:10.48550/arxiv.0902.2925
14 pages
arxiv created 2009/02/17 · arxiv updated 2009/12/01
In this work we deal with coverings and actions of Lie group- groupoids being a sort of the structured Lie groupoids. Firstly, we define an action of a Lie group-groupoid on some Lie group and the smooth coverings of Lie group-groupoids. Later, we show the equivalence of the category of smooth actions of Lie group-groupoids on Lie groups and the category of smooth cov- erings of Lie group-groupoids. Further, we prove a theorem which denotes how is obtained a covering Lie group-groupoid and a smooth covering morphism of Lie group-groupoids from a Lie group-groupoid.