Local subgroupoids II: Examples and properties


BROWN R., İÇEN İ., Mucuk O.

TOPOLOGY AND ITS APPLICATIONS, cilt.127, ss.393-408, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 127 Konu: 3
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0166-8641(02)00101-3
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.393-408

Özet

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.