1998/08/27 by Ronald Brown, Brown, Ronald, İlhan Içen +2
Mathematics · #18F20 #22A22 #58H05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:18F20 #msc:22A22 #msc:58H05
paper · pdf · doi:10.48550/arxiv.math/9808112
12 pages. This revised version leaves out material on coherence, which is submitted elswhere
openalex publication_date 1998/08/27 · arxiv created 2000/08/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.