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Relative Microlinearity - Towards the General Theory of Fiber Bundles in Infinite-Dimensionl Differential Geometry -
http://hdl.handle.net/2241/106401
http://hdl.handle.net/2241/10640182441250-3a16-4518-9cd3-fa05ce69efbe
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
1009.2163v1.pdf (169.2 kB)
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| Item type | Preprint(1) | |||||||||||
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| 公開日 | 2010-09-14 | |||||||||||
| タイトル | ||||||||||||
| タイトル | Relative Microlinearity - Towards the General Theory of Fiber Bundles in Infinite-Dimensionl Differential Geometry - | |||||||||||
| 言語 | en | |||||||||||
| 言語 | ||||||||||||
| 言語 | eng | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_1843 | |||||||||||
| 資源タイプ | other | |||||||||||
| 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 | In our previous papers [Far East Journal of Mathematical Sciences, 35 (2009), 211-223] and [International Journal of Pure and Applied Mathematics, 60 (2010), 15-24] we have developed the theory of Weil prolongation, Weil exponentiability and microlinearity for Frölicher spaces. In this paper we will relativize it so as to obtain the theory of fiber bundles for Frölicher spaces. It is shown that any Weil functor naturally gives rise to a fiber bundle. We will see that the category of fiber bundles over a fixed Frölicher space M and their smooth mappings over M is cartesian closed. We will see also that the category of vector bundles over M and their smooth linear mappings over M is cartesian closed. It is also shown that the tangent bundle functor naturally yields a vector bundle. |
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| 言語 | en | |||||||||||
| 書誌情報 |
p. 1-16, 発行日 2010-09-14 |
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| 関連情報 | ||||||||||||
| 識別子タイプ | URI | |||||||||||
| 関連識別子 | http://arxiv.org/abs/1009.2163 | |||||||||||
