On s-Sheaves
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, vol.56, no.3, pp.74-82, 2017 (ESCI)
- Publication Type: Article / Article
- Volume: 56 Issue: 3
- Publication Date: 2017
- Journal Name: INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS
- Journal Indexes: Emerging Sources Citation Index (ESCI), zbMATH
- Page Numbers: pp.74-82
- Inonu University Affiliated: Yes
Abstract
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).