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- W2155143857 abstract "Lie 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." @default.
- W2155143857 created "2016-06-24" @default.
- W2155143857 creator A5057779938 @default.
- W2155143857 date "2007-09-23" @default.
- W2155143857 modified "2023-09-27" @default.
- W2155143857 title "A Functorial Approach to the Infinitesimal Theory of Groupoids" @default.
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