Local subgroupoids II: Examples and properties
微分几何
2007-05-23 v2 范畴论
摘要
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.
引用
@article{arxiv.math/0008165,
title = {Local subgroupoids II: Examples and properties},
author = {R. Brown and I. Icen and O. Mucuk},
journal= {arXiv preprint arXiv:math/0008165},
year = {2007}
}
备注
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