On s-Sheaves


Oguz G. , Icen I. , Gursoy M. H.

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, cilt.56, ss.74-82, 2017 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 56 Konu: 3
  • Basım Tarihi: 2017
  • Dergi Adı: INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS
  • Sayfa Sayıları: ss.74-82

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).