Local subgroupoids II: Examples and properties

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dc.creatorBrown, R.
dc.creatorIcen, I.
dc.creatorMucuk, O.
dc.date2000-08-22
dc.date2000-08-29
dc.date.accessioned2026-07-07T04:36:55Z
dc.date.available2026-07-07T04:36:55Z
dc.descriptionThe notion of local subgroupoid as a generalisation of a local equivalence relation was defined in a previous paper by the first two authors. Here we use the notion of star path connectivity for a Lie groupoid to give an important new class of examples, generalising the local equivalence relation of a foliation, and develop in this new context basic properties of coherence, due earlier to Rosenthal in the special case. These results are required for further applications to holonomy and monodromy.
dc.description18 pages. replacement gives a change to the use of the flat condition for a path connection, and adds a reference on locally Lie groupoids
dc.identifierhttps://arxiv.org/abs/math/0008165
dc.identifierhttp://arxiv.org/abs/math/0008165
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59775
dc.subjectDifferential Geometry
dc.subjectCategory Theory
dc.subject18F20,18F05,22E99,22A22,58H05
dc.titleLocal subgroupoids II: Examples and properties
dc.typetext

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