Local subgroupoids II: Examples and properties

BROWN R., İÇEN İ., Mucuk O.

TOPOLOGY AND ITS APPLICATIONS, vol.127, no.3, pp.393-408, 2003 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 127 Issue: 3
  • Publication Date: 2003
  • Doi Number: 10.1016/s0166-8641(02)00101-3
  • Journal Name: TOPOLOGY AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.393-408
  • Erciyes University Affiliated: Yes

Abstract

The notion of local subgroupoid as a generalisation of a local equivalence relation was defined in a previous paper by the first two authors. Here we use the notion of star path connectivity for a Lie groupoid to give an important new class of examples, generalising the local equivalence relation of a foliation, and develop in this new context basic properties of coherence, due earlier to Rosenthal in the special case. These results are required for further applications to holonomy and monodromy. (C) 2002 Elsevier Science B.V. All rights reserved.