{"created":"2022-01-28T01:17:32.602642+00:00","id":2005620,"links":{},"metadata":{"_buckets":{"deposit":"c449b260-0b5d-41b1-9fca-7c4b782b9c90"},"_deposit":{"id":"2005620","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"2005620"},"status":"published"},"_oai":{"id":"oai:u-ryukyu.repo.nii.ac.jp:02005620","sets":["1642838403123","1642838403551:1642838406414"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_1551255647225":"重心配置空間のホモトピー論への応用","subitem_1551255648112":"ja"},{"subitem_1551255647225":"Applications of centers of mass configuration spaces to homotopy the","subitem_1551255648112":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"神山, 靖彦","creatorNameLang":"ja"}]},{"creatorNames":[{"creatorName":"Kamiyama, Yasuhiko","creatorNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_1522299639480":"open access","subitem_1600958577026":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"重心配置空間"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"クモの巣装置"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"モーメント角複体"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"重心配置空間"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"クモの巣装置"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"モーメント角複体"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"ねじれ群"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"コンピュータ計算"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"パワーショベル"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"ホモトピーコリミット"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"ホモトピーファイバー"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"ホモトピー同値"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"ホモロジー分解"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"モーメント角複体"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"ループ空間"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"ロボット"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"予想"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"位相的複雑さ"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"可換図式"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"安定ホモトピー同値"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"局所係数ホモロジー"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"整係数ホモロジー"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"結節マシン"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"超平面"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"配置空間"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"重心"},{"subitem_1522299896455":"ja","subitem_1522300014469":"Other","subitem_1523261968819":"重心配置空間"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"科研費番号: 18540092","subitem_description_type":"Other"},{"subitem_description":"2006年度～2009年度科学研究費補助金（基盤研究(Ｃ)）研究成果報告書","subitem_description_type":"Other"},{"subitem_description":"2つの図形の間に連続写像がどの位あるか調べる幾何学をホモトピー論という。従来のホモトピー論の諸問題は、問題ごとにアドホックな方法で解決されてきた。本研究では重心配置空間という空間を定義し、その性質について予想を提示した。この予想が解決されれば、既知の諸定理に統一的な別証明を与えることができ、同時に未解決問題も解決することを解明した。本研究のメリットは以下の点にある。ユークリッド空間内の何枚かの平面たちの補集合は原理的に計算可能である。重心配置空間はこのような補集合の一種なので、連続写像を作るという従来の方法よりもはるかにアプローチしやすい。","subitem_description_type":"Other"},{"subitem_description":"研究概要（英文） : Homotopy theory is a topology which studies continuous maps between two spaces. Traditionally, problems in homotopy theory have been solved by ad hoc methods. In the present research, I defined the “centers of mass” configuration spaces and posed a conjecture about its property. I elucidated that if our conjecture was proved, then not only many known results are reproved in an integral way, but also we can prove unsolved problems.\\nThe merit of our research is as follows. The complement of hyperplanes in the Euclidean space is a computable object. Since our configuration space is a kind of such a complement, our conjecture is far more accessible than the traditional way to construct continuous maps.","subitem_description_type":"Other"},{"subitem_description":"研究報告書","subitem_description_type":"Other"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_1522300295150":"ja","subitem_1522300316516":"神山靖彦"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_1551255818386":"jpn"}]},"item_1617186783814":{"attribute_name":"Identifier","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/20.500.12000/17769"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2010-03-05","bibliographicIssueDateType":"Issued"}}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_1522305645492":"AM","subitem_1600292170262":"http://purl.org/coar/version/c_ab4af688f83e57aa"}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","filename":"18540092seika.pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://u-ryukyu.repo.nii.ac.jp/record/2005620/files/18540092seika.pdf"},"version_id":"601feced-98b6-4bf6-8b01-b781044a97b0"}]},"item_title":"重心配置空間のホモトピー論への応用","item_type_id":"15","owner":"1","path":["1642838403123","1642838406414"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2010-08-06"},"publish_date":"2010-08-06","publish_status":"0","recid":"2005620","relation_version_is_last":true,"title":["重心配置空間のホモトピー論への応用"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-10-31T02:49:17.704574+00:00"}