TOPOLOGY AND ITS APPLICATIONS, cilt.115, sa.2, ss.125-138, 2001 (SCI-Expanded)
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. (C) 2001 Elsevier Science B.V. All rights reserved.