DSpace Arşivi :: by Yazar "Gürsoy, M. Habil" değerine göre listeleniyor

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Coverings of Lie groupoids
(Turkish Journal of Mathematics, 2011) İçen, İlhan; Gürsoy, M. Habil; Özcan, A. Fatih
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.
On soft topological categories
(Hacettepe Journal of Mathematics and Statistics, 2019) Oğuz, Gülay; Gürsoy, M. Habil; İçen, İlhan
Öz: In this paper, we introduce the notion of a soft topological category as a natural consequence of the existence of topological category and soft category. Some examples of the soft topological categories are given. The properties of soft topological category are investigated and some important results are obtained. Also, the notion of topological functor is extended to the notion of soft topological functor. Finally, we present some examples about it. Mathematics Subject Classification (2010). 18A05, 22A05, 55U40, 97H40