A Functorial Approach to the Infinitesimal Theory of Groupoids

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dc.creatorNishimura, Hirokazu
dc.date2007-09-23
dc.date2008-05-10
dc.date.accessioned2026-07-07T09:37:48Z
dc.date.available2026-07-07T09:37:48Z
dc.descriptionLie algebroids are by no means natural as an infinitesimal counterpart of groupoids. In this paper we propose a functorial construction called Nishimura algebroids for an infinitesimal counterpart of groupoids. Nishimura algebroids, intended for differential geometry, are of the same vein as Lawvere's functorial notion of algebraic theory and Ehresmann's functorial notion of theory called sketches. We study totally intransitive Nishimura algebroids in detail. Finally we show that Nishimura algebroids naturally give rise to Lie algebroids.
dc.identifierhttps://arxiv.org/abs/0709.3629
dc.identifierhttp://arxiv.org/abs/0709.3629
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160587
dc.subjectDifferential Geometry
dc.subject58H05
dc.titleA Functorial Approach to the Infinitesimal Theory of Groupoids
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