Lie local subgroupoids and their holonomy and monodromy Lie groupoids

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

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