{"created":"2023-06-20T15:10:42.974253+00:00","id":6955,"links":{},"metadata":{"_buckets":{"deposit":"b5610367-a4be-4309-8b5a-0c4fa74972f2"},"_deposit":{"created_by":3,"id":"6955","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"6955"},"status":"published"},"_oai":{"id":"oai:ynu.repo.nii.ac.jp:00006955","sets":["616:627:665"]},"author_link":["29909"],"item_6_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1999","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"Special","bibliographicPageEnd":"189","bibliographicPageStart":"183","bibliographicVolumeNumber":"47","bibliographic_titles":[{"bibliographic_title":"Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学"}]}]},"item_6_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let ＄G＄ be an embedding on the torus and let ＄￥ell＄ be an essential closed curve on the torus. Let ＄f_{G}(￥ell)＄ be the minimum number of intersections of ＄G＄ and a ＄c1_{08}ed＄ curve ＄￥ell^{￥prime}＄ , where ＄￥ell^{￥prime}＄ ranges over all closed curves homotopic to ＄￥ell＄ . An embedding ＄G＄ on the torus is said to be akernel if for any proper minor ＄T＄ of ＄G＄ , ＄f_{G}(￥ell)>f_{T}(￥ell)＄ for some ＄￥ell＄ . In this paper, we show that any two kernels ＄G＄ and ＄G^{￥prime}＄ on the torus with ＄f_{G}=f_{G}＄, can be transformed into each other by a sequence of ＄Y￥Delta-e＄xchanges.","subitem_description_type":"Abstract"}]},"item_6_publisher_35":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Yokohama City University and Yokohama National University"}]},"item_6_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA0089285X","subitem_source_identifier_type":"NCID"}]},"item_6_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00440523","subitem_source_identifier_type":"ISSN"}]},"item_6_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematics, Osaka Kyoiku University, 4-689-1 Asahigaoka, Kashiwara, Osaka 852-8582, JAPAN"}]},"item_6_version_type_18":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Nakamoto, Atsuhiro"}],"nameIdentifiers":[{"nameIdentifier":"29909","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-09-26"}],"displaytype":"detail","filename":"YMJ_47_Special_1999_183-189.pdf","filesize":[{"value":"686.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"YMJ_47_Special_1999_183-189.pdf","url":"https://ynu.repo.nii.ac.jp/record/6955/files/YMJ_47_Special_1999_183-189.pdf"},"version_id":"2ca4b11e-f888-4d0b-81d5-0957aced8c12"}]},"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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"THE ＄ Y￥Delta＄ -EQUIVALENCE OF KERNELS ON THE TORUS WITHOUT TAKING DUALS","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"THE ＄ Y￥Delta＄ -EQUIVALENCE OF KERNELS ON THE TORUS WITHOUT TAKING DUALS"}]},"item_type_id":"6","owner":"3","path":["665"],"pubdate":{"attribute_name":"公開日","attribute_value":"2009-12-15"},"publish_date":"2009-12-15","publish_status":"0","recid":"6955","relation_version_is_last":true,"title":["THE ＄ Y￥Delta＄ -EQUIVALENCE OF KERNELS ON THE TORUS WITHOUT TAKING DUALS"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T18:43:53.889634+00:00"}