Holonomy groupoids of generalized foliations. I (Q920437)

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scientific article; zbMATH DE number 4163748
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Holonomy groupoids of generalized foliations. I
scientific article; zbMATH DE number 4163748

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    Holonomy groupoids of generalized foliations. I (English)
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    1990
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    The author considers generalized foliations in the sense of \textit{P. Stefan} [Bull. Am. Math. Soc. 80, 1142-1145 (1974; Zbl 0293.51015)] and \textit{P. Dazord} [Indag. Math. 47, 21-39 (1985; Zbl 0584.57016)] with special singular leaves. Then, for this kind of foliations he defines a holonomy groupoid which is a topological groupoid. The last section of the paper is devoted to construct examples of holonomy groupoids for generalized foliations with nontrivial holonomy maps.
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    Stefan foliation
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    generalized foliations
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    holonomy groupoid
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