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A FUNCTORIAL APPROACH TO THE INFINITESIMAL THEORY OF GROUPOID
http://hdl.handle.net/2241/103607
http://hdl.handle.net/2241/1036072c8119ea-ee5d-4c39-b912-176988e1a1b5
名前 / ファイル | ライセンス | アクション |
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nishimura-p.pdf (168.3 kB)
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Item type | Book(1) | |||||||||||
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公開日 | 2009-09-07 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | A FUNCTORIAL APPROACH TO THE INFINITESIMAL THEORY OF GROUPOID | |||||||||||
資源タイプ | ||||||||||||
資源 | http://purl.org/coar/resource_type/c_2f33 | |||||||||||
タイプ | book | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
アクセス権 | ||||||||||||
アクセス権 | open access | |||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||
著者 |
西村, 泰一
× 西村, 泰一
WEKO
123
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抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | 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. |
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言語 | en | |||||||||||
書誌情報 |
en : Emerging Topics on Differential Geometry and Graph Theory p. 1-29, 発行日 2009 |
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権利 | ||||||||||||
言語 | en | |||||||||||
権利情報 | ©2009 Nova Science Publishers, Inc. | |||||||||||
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言語 | en | |||||||||||
出版者 | Nova Science Publishers | |||||||||||
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識別子タイプ | ISBN | |||||||||||
関連識別子 | 978-1-60741-011-9 |