On s-Sheaves
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, cilt.56, sa.3, ss.74-82, 2017 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 56 Sayı: 3
- Basım Tarihi: 2017
- Dergi Adı: INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), zbMATH
- Sayfa Sayıları: ss.74-82
- İnönü Üniversitesi Adresli: Evet
Özet
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).