Lie local subgroupoids and their holonomy and monodromy Lie groupoids

Mathematics – Differential Geometry

Scientific paper

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12 pages. This revised version leaves out material on coherence, which is submitted elswhere

Scientific paper

The notion of local equivalence relation on a topological space is
generalised 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 extendibility of local Lie
morphisms.

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