{"created":"2023-06-19T07:39:18.004297+00:00","id":800,"links":{},"metadata":{"_buckets":{"deposit":"d81e63b2-abe3-4c95-87ed-729b6ca3f4f0"},"_deposit":{"created_by":6,"id":"800","owners":[6],"pid":{"revision_id":0,"type":"depid","value":"800"},"status":"published"},"_oai":{"id":"oai:tsuru.repo.nii.ac.jp:00000800","sets":["17:103"]},"author_link":["10884","10885"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-10-20","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"94","bibliographicPageEnd":"162","bibliographicPageStart":"151","bibliographic_titles":[{"bibliographic_title":"都留文科大学研究紀要"},{"bibliographic_title":"都留文科大学研究紀要","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"要旨\n　この概説では、主に代数幾何学に現れる三角圏や導来圏の性質についてまとめた一連の\n研究ノートで用いられる集合論的及び圏論的な基礎事項について解説する。第2節におい\nて、Zermelo-Fraenkel の公理的集合論の公理系と選択公理について復習する。第3節で\nは、Grothendieck によって圏論に導入されたuniverse の概念に関して、柏原-Schapira\nによるuniverse の定義を採用し、その性質について解説する。第4節ではさらに、Grothendieck のオリジナルのuniverse、Bourbaki によるuniverse、MacLane による\nuniverse を定義し、それらの公理系を比較する。最終的にそれらがすべて一致することを示す。第5節では、universe の内部において圏論を展開するための基礎事項について解説する。特に、関手圏が小さな圏となることを示す。","subitem_description_type":"Abstract"}]},"item_10002_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"10885","nameIdentifierScheme":"WEKO"}],"names":[{"name":"TERAKAWA, Hiroyuki"}]}]},"item_10002_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.34356/00000787","subitem_identifier_reg_type":"JaLC"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"都留文科大学"}]},"item_10002_source_id_11":{"attribute_name":"NCID","attribute_value_mlt":[{"subitem_source_identifier":"AN00149431","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0286-3774","subitem_source_identifier_type":"ISSN"}]},"item_10002_version_type_20":{"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":"寺川, 宏之"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-10-19"}],"displaytype":"detail","filename":"A Note on Grothendieck Universes.pdf","filesize":[{"value":"1.5 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"A Note on Grothendieck Universes","url":"https://tsuru.repo.nii.ac.jp/record/800/files/A Note on Grothendieck Universes.pdf"},"version_id":"8644bf56-5aec-41d8-a423-33b6f2685f1d"}]},"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":"A Note on Grothendieck Universes","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A Note on Grothendieck Universes"},{"subitem_title":"A Note on Grothendieck Universes","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"6","path":["103"],"pubdate":{"attribute_name":"公開日","attribute_value":"2021-10-19"},"publish_date":"2021-10-19","publish_status":"0","recid":"800","relation_version_is_last":true,"title":["A Note on Grothendieck Universes"],"weko_creator_id":"6","weko_shared_id":-1},"updated":"2023-06-19T07:46:39.098133+00:00"}