منابع مشابه
Lie local subgroupoids and their holonomy and monodromy Lie groupoids
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. 2001 Elsevier Science B.V. All rights reserved. AMS classification: 58H05; 22A22; 18F20
متن کاملExtendibility, Monodromy, and Local Triviality for Topological Groupoids
A groupoid is a small category in which each morphism has an inverse. A topological groupoid is a groupoid in which both sets of objects and morphisms have topologies such that all maps of groupoid structure are continuous. The notion of monodromy groupoid of a topological groupoid generalizes those of fundamental groupoid and universal cover. It was earlier proved that the monodromy groupoid o...
متن کامل49 9 v 3 [ m at h . D G ] 2 6 Fe b 20 06 Three themes in the work of Charles Ehresmann : Local - to - global ; Groupoids ; Higher dimensions . ∗
This paper illustrates the themes of the title in terms of: van Kampen type theorems for the fundamental groupoid; holonomy and monodromy groupoids; and higher homotopy groupoids. Interaction with work of the writer is explored.
متن کاملThree themes in the work of Charles Ehresmann: Local-to-global; Groupoids; Higher dimensions
This paper illustrates the themes of the title in terms of: van Kampen type theorems for the fundamental groupoid; holonomy and monodromy groupoids; and higher homotopy groupoids. Interaction with work of the writer is explored. 1
متن کاملFe b 20 06 Three themes in the work of Charles Ehresmann : Local - to - global ; Groupoids ; Higher dimensions
This paper illustrates the themes of the title in terms of: van Kampen type theorems for the fundamental groupoid; holonomy and monodromy groupoids; and higher homotopy groupoids. Interaction with work of the writer is explored.
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 2001
ISSN: 0137-6934,1730-6299
DOI: 10.4064/bc54-0-1