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.
C1 Univ Wales, Sch Informat, Div Math, Bangor LL57 1UT, Gwynedd, Wales.
Univ Inonu, Fac Sci & Art, Dept Math, Malatya, Turkey.