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Local subgroupoids II: Examples and properties

R. Brown·I. Icen·O. Mucuk
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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.

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R. Brown, I. Icen, O. Mucuk. 2000-08-29. Local subgroupoids II: Examples and properties. https://arxiv.org/abs/math/0008165

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