Lie Local Subgroupoids And Their Monodromy
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چکیده
is the identity on objects so that the latter holonomy groupoid is a quotient of the mon-odromy groupoid. We note also that these Lie groupoids are not etale groupoids. This is one of the distinctions between the direction of this work and that of Kock and Moerdijk 11, 12]. Remark 4.12 The above results also include the notion of a Lie local equivalence relation, and a strong monodromy principle for these. Th eorie de Lie pour les groupoides dii erentiable, relation entre propri etes locales et globales, Comptes Rendus Acad.
منابع مشابه
Lie local subgroupoids and their holonomy and monodromy Lie groupoids
The notion of local equivalence relation on a topological space is generalized to that of local subgroupoid. The main result is the construction of the holonomy and monodromy groupoids of certain Lie local subgroupoids, and the formulation of a monodromy principle on the extendability of local Lie morphisms. 2001 Elsevier Science B.V. All rights reserved. AMS classification: 58H05; 22A22; 18F20
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