Brown, RIçen, I2024-08-042024-08-0420010166-8641https://doi.org/10.1016/S0166-8641(00)00062-6https://hdl.handle.net/11616/93541The 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.eninfo:eu-repo/semantics/openAccesslocal equivalence relationlocal subgroupoidholonomy groupoidmonodromy groupoidmonodromy principleLie local subgroupoids and their holonomy and monodromy Lie groupoidsArticle115212513810.1016/S0166-8641(00)00062-62-s2.0-0037918950Q3WOS:000170445700001Q3