Local subgroupoids II: Examples and properties
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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 August 2000
 arXiv:
 arXiv:math/0008165
 Bibcode:
 2000math......8165B
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Category Theory;
 18F20;
 18F05;
 22E99;
 22A22;
 58H05
 EPrint:
 18 pages. replacement gives a change to the use of the flat condition for a path connection, and adds a reference on locally Lie groupoids