{"created":"2021-03-01T06:14:39.159649+00:00","id":11754,"links":{},"metadata":{"_buckets":{"deposit":"f3a98851-c273-4c8a-93e7-c8f85aecea7a"},"_deposit":{"id":"11754","owners":[],"pid":{"revision_id":0,"type":"depid","value":"11754"},"status":"published"},"_oai":{"id":"oai:soar-ir.repo.nii.ac.jp:00011754","sets":["1169:1170"]},"author_link":["36022"],"item_1628147817048":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_6_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2012-04","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"4","bibliographicPageEnd":"765","bibliographicPageStart":"752","bibliographicVolumeNumber":"216","bibliographic_titles":[{"bibliographic_title":"JOURNAL OF PURE AND APPLIED ALGEBRA"}]}]},"item_6_description_20":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"The level of a module over a differential graded algebra measures the number of steps required to build the module in an appropriate triangulated category. Based on this notion, we introduce a new homotopy invariant of spaces over a fixed space, called the level of a map. Moreover, we provide a method to compute the invariant for spaces over a K-formal space. This enables us to determine the level of the total space of a bundle over the 4-dimensional sphere with the aid of Auslander-Reiten theory for spaces due to Jorgensen. We also discuss the problem of realizing an indecomposable object in the derived category of the sphere by the singular cochain complex of a space. The Hopf invariant provides a criterion for the realization.","subitem_description_type":"Abstract"}]},"item_6_description_30":{"attribute_name":"資源タイプ（コンテンツの種類）","attribute_value_mlt":[{"subitem_description":"Article","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"引用","attribute_value_mlt":[{"subitem_description":"JOURNAL OF PURE AND APPLIED ALGEBRA. 216(4):752-765 (2012)","subitem_description_type":"Other"}]},"item_6_link_3":{"attribute_name":"信州大学研究者総覧へのリンク","attribute_value_mlt":[{"subitem_link_text":"Kuribayashi, Katsuhiko","subitem_link_url":"http://soar-rd.shinshu-u.ac.jp/profile/ja.WCyFbUTU.html"}]},"item_6_link_67":{"attribute_name":"WoS","attribute_value_mlt":[{"subitem_link_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000300924400002"}]},"item_6_publisher_4":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"ELSEVIER SCIENCE BV"}]},"item_6_relation_48":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"10.1016/j.jpaa.2011.08.009"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1016/j.jpaa.2011.08.009","subitem_relation_type_select":"DOI"}}]},"item_6_rights_62":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright© 2011 Elsevier B.V."}]},"item_6_source_id_35":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0022-4049","subitem_source_identifier_type":"ISSN"}]},"item_6_source_id_40":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00705737","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kuribayashi,  Katsuhiko"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2015-09-28"}],"displaytype":"detail","filename":"levels_spaces-neo1.pdf","filesize":[{"value":"179.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"levels_spaces-neo1.pdf","url":"https://soar-ir.repo.nii.ac.jp/record/11754/files/levels_spaces-neo1.pdf"},"version_id":"1f88e662-3d5e-43f5-b3c6-91cf998980cb"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"On the levels of maps and topological realization of objects in a triangulated category","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On the levels of maps and topological realization of objects in a triangulated category","subitem_title_language":"en"}]},"item_type_id":"6","owner":"1","path":["1170"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2013-10-21"},"publish_date":"2013-10-21","publish_status":"0","recid":"11754","relation_version_is_last":true,"title":["On the levels of maps and topological realization of objects in a triangulated category"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-14T04:11:44.390448+00:00"}