局部子群胚II:例子和性质
Local subgroupoids II: Examples and properties
摘要:
局部子群胚作为局部等价关系的推广的概念在前两篇论文中被定义。在这里,我们使用的概念,明星道路连通性的李群胚给一个重要的新的一类例子,推广当地的等价关系的叶理,并在这一新的背景下发展的基本性质的连贯性,由于早先罗森塔尔在特殊情况下。这些结果需要进一步的应用holonomy和monodromy。
英文摘要:
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.
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