{"created":"2021-03-01T06:58:02.138442+00:00","id":20329,"links":{},"metadata":{"_buckets":{"deposit":"24504d18-4761-4b79-adab-7c148399eb41"},"_deposit":{"created_by":188,"id":"20329","owners":[188],"pid":{"revision_id":0,"type":"depid","value":"20329"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00020329","sets":["117:478","3:2651:2655"]},"author_link":["123"],"item_8_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2010-09-14","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"16","bibliographicPageStart":"1"}]},"item_8_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In our previous papers [Far East Journal of Mathematical Sciences, 35\n(2009), 211-223] and [International Journal of Pure and Applied Mathematics,\n60 (2010), 15-24] we have developed the theory of Weil prolongation,\nWeil exponentiability and microlinearity for Frölicher spaces. In\nthis paper we will relativize it so as to obtain the theory of fiber bundles\nfor Frölicher spaces. It is shown that any Weil functor naturally gives rise\nto a fiber bundle. We will see that the category of fiber bundles over a\nfixed Frölicher space M and their smooth mappings over M is cartesian\nclosed. We will see also that the category of vector bundles over M and\ntheir smooth linear mappings over M is cartesian closed. It is also shown\nthat the tangent bundle functor naturally yields a vector bundle.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_8_relation_39":{"attribute_name":"関連情報","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://arxiv.org/abs/1009.2163","subitem_relation_type_select":"URI"}}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"西村, 泰一","creatorNameLang":"ja"},{"creatorName":"ニシムラ, ヒロカズ","creatorNameLang":"ja-Kana"},{"creatorName":"NISHIMURA, Hirokazu","creatorNameLang":"en"}],"nameIdentifiers":[{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2013-12-24"}],"displaytype":"detail","filename":"1009.2163v1.pdf","filesize":[{"value":"169.2 kB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tsukuba.repo.nii.ac.jp/record/20329/files/1009.2163v1.pdf"},"version_id":"79db6cac-1a6e-4a0f-89b3-6692e7ad82bb"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"other","resourceuri":"http://purl.org/coar/resource_type/c_1843"}]},"item_title":"Relative Microlinearity - Towards the General Theory of Fiber Bundles in Infinite-Dimensionl Differential Geometry -","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Relative Microlinearity - Towards the General Theory of Fiber Bundles in Infinite-Dimensionl Differential Geometry -","subitem_title_language":"en"}]},"item_type_id":"8","owner":"188","path":["478","2655"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2010-09-14"},"publish_date":"2010-09-14","publish_status":"0","recid":"20329","relation_version_is_last":true,"title":["Relative Microlinearity - Towards the General Theory of Fiber Bundles in Infinite-Dimensionl Differential Geometry -"],"weko_creator_id":"188","weko_shared_id":-1},"updated":"2024-03-22T05:07:18.416933+00:00"}