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    A New Concept in the Soft Theory: Soft Groupoids
    (Southeast Asian Mathematical Soc-Seams, 2020) Oguz, G.; Icen, I.; Gursoy, M. H.
    This article is based on the introduction of the soft groupoid concept. Soft groupoid which is defined as a new concept is exemplified and some important properties of it are studied. Subsequently, the relationship between soft groupoid and soft category is examined in detail. Morever, the category of soft groupoids is constructed. Finally, the concepts of soft subgroupoid and normal soft subgroupoid are described and some characterizations related to them are presented.
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    On s-Sheaves
    (Centre Environment Social & Economic Research Publ-Ceser, 2017) Oguz, G.; Icen, I.; Gursoy, M. H.
    In this study, we investigate the interaction of sheaves and groupoids. More precisely, we study the interaction between the local equivalence relations and local subgroupoids. A local equivalence relation on a topological space X is a global section of the sheaf of germs of equivalence relations on X. In the light of this definition, the concept of a local subgroupoid of a topological groupoid G is a global section of a certain sheaf of subgroupoid associated to G. It is also an introduction to the notions of r-sheaves and s-sheaves introduced by Icen (Icen, 2000).