Local subgroupoids II: Examples and properties

Ronald Brown; Ilhan Icen; Osman Mucuk

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Local subgroupoids II: Examples and properties

机译：局部亚群II：示例和属性

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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.

机译：前两位作者在先前的论文中定义了局部子群化概念，作为局部等价关系的概括。在这里，我们使用李群群星的星径连通性概念给出一个重要的新示例类，概括了叶的局部等价关系，并在这种新情况下开发了相干性的基本属性，这在特殊情况下早于罗森塔尔。这些结果是进一步应用到完整性和单峰性所必需的。

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来源
《Topology and its applications》 |2003年第3期|p.393-408|共16页
作者
Ronald Brown; Ilhan Icen; Osman Mucuk;
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作者单位

School of Informatics, Mathematics Division, University of Wales, Bangor, Gwynedd LL57 1UT, UK;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
local equivalence relation; local subgroupoid; coherence; holonomy; monodromy;

机译：局部等价关系局部亚群连贯完整单性;

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Local subgroupoids II: Examples and properties

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