{"created":"2024-03-22T07:27:24.880459+00:00","id":2002336,"links":{},"metadata":{"_buckets":{"deposit":"624a4949-5a83-4ace-9e85-18b31f81bed0"},"_deposit":{"created_by":8,"id":"2002336","owners":[8],"pid":{"revision_id":0,"type":"depid","value":"2002336"},"status":"published"},"_oai":{"id":"oai:nara-wu.repo.nii.ac.jp:02002336","sets":["1708505779733:1708506225397:1708506244269"]},"author_link":[],"control_number":"2002336","item_10001_biblio_info_7":{"attribute_name":"bibliographic_information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-05","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"163","bibliographicPageStart":"129","bibliographicVolumeNumber":"22","bibliographic_titles":[{"bibliographic_title":"JP Journal of Geometry and Topology","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"For a pair of spherical curves P and P', we introduce a quantity called the stable double point number of P and P', denoted sd(P, P'). A trivial spherical curve is a spherical curve with no double point, denoted O. In this paper, we prove two results relevant to the question whether sd(P,O) ≦ d([P])+1 holds or not, where d([P]) denotes the double point number. One is a positive result. Concretely speaking, we show that each 2-bridge spherical curve denoted C(a_1, a_2,...,a_n) satisfies sd(C(a_1, a_2,...,a_n) ,O) ≦ d([C( a_1, a_2,...,a_n)])+1. The other is a negative result. Concretely speaking, we show that the pretzel spherical curve denoted P(m;5) (m: odd integer, ≧ 5) satisfies sd(P(m;5), O)=d([P(m;5)])+2.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Pushpa Publishing House","subitem_publisher_language":"en"}]},"item_10001_relation_11":{"attribute_name":"item_10001_relation_11","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"AA11927388","subitem_relation_type_select":"NCID"}}]},"item_10001_relation_14":{"attribute_name":"item_10001_relation_14","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.17654/GT022020129","subitem_relation_type_select":"DOI"}}]},"item_10001_source_id_9":{"attribute_name":"item_10001_source_id_9","attribute_value_mlt":[{"subitem_source_identifier":"0972-415X","subitem_source_identifier_type":"PISSN"}]},"item_10001_version_type_20":{"attribute_name":"出版タイプ","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":"Kobayashi,Tsuyoshi","creatorNameLang":"en"},{"creatorName":"こばやし,つよし","creatorNameLang":"ja-Kana"},{"creatorName":"小林,毅","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"1000000186751","nameIdentifierScheme":"kaken2","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000000186751"}]},{"creatorNames":[{"creatorName":"Kobayashi,Sumika","creatorNameLang":"en"},{"creatorName":"こばやし,すみか","creatorNameLang":"ja-Kana"},{"creatorName":"小林,住香","creatorNameLang":"ja"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2020-02-03"}],"filename":"aa11927388v22no2pp129-163.pdf","format":"application/pdf","mimetype":"application/pdf","url":{"url":"https://nara-wu.repo.nii.ac.jp/record/2002336/files/aa11927388v22no2pp129-163.pdf"},"version_id":"81ebf067-9c50-404b-a1fe-28d1f1ba8351"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"2-bridge spherical curve","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"double point number","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"pretzel spherical curve","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"spherical curve","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"item_resource_type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Stable Double Point Numbers of Pairs of Spherical Curves","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Stable Double Point Numbers of Pairs of Spherical Curves","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"8","path":["1708506244269"],"publish_date":"2020-02-03","publish_status":"0","recid":"2002336","relation_version_is_last":true,"title":["Stable Double Point Numbers of Pairs of Spherical Curves"],"weko_creator_id":"8","weko_shared_id":-1},"updated":"2024-09-24T00:00:37.683450+00:00"}