The holonomy groupoid of a locally topological groupoid

DOI10.1016/0166-8641(92)90065-8zbMath0855.22007OpenAlexW2080465429MaRDI QIDQ1206520

Mohammed A. E.-S. A.-F. Aof, Ronald Brown

Publication date: 1 April 1993

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(92)90065-8

zbMATH Keywords

topologyextendabilityholonomy groupoidlocally topological groupoid

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Local categories and functors (18F05)

Related Items

Towards a \(2\)-dimensional notion of holonomy, Kirill Mackenzie, Bangor and Holonomy, Topological aspect of monodromy groupoid for a group-groupoid, Spaces with local equivalence relations, and their monodromy, On weaker forms for concepts in theory of topological groupoids, Towards a 2-dimensional notion of holonomy., Lie local subgroupoids and their holonomy and monodromy Lie groupoids, Unnamed Item, Group-groupoids and monodromy groupoids, Unnamed Item, Unnamed Item, Relational symplectic groupoids

Cites Work

• The graph of a foliation
• The holonomic imperative and the homotopy groupoid of a foliated manifold
• Local equivalence relations
• Double Lie algebroids and second-order geometry. II
• Espaces fibres en algèbres de Lie et en groupes
• From Groups to Groupoids: a Brief Survey
• Foliations
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