{"created":"2021-03-01T07:34:49.473220+00:00","id":54050,"links":{},"metadata":{"_buckets":{"deposit":"fd48b717-e7af-420f-b951-bfa62dc18ae9"},"_deposit":{"id":"54050","owners":[],"pid":{"revision_id":0,"type":"depid","value":"54050"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00054050","sets":["117:1191","3:62:5598:440"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-10","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"10","bibliographicPageEnd":"4370","bibliographicPageStart":"4363","bibliographicVolumeNumber":"147","bibliographic_titles":[{},{"bibliographic_title":"Proceedings of the American Mathematical Society","bibliographic_titleLang":"en"}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In the previous paper Adv. Math. 304 (2017), pp. 793-808, we proved that if for any graph $ G$, a homeomorphism on a $ G$-like continuum $ X$ has positive topological entropy, then the continuum $ X$ contains an indecomposable subcontinuum. Also, if for a tree $ G$, a monotone map on a $ G$-like continuum $ X$ has positive topological entropy, then the continuum $ X$ contains an indecomposable subcontinuum. In this note, we extend these results. In fact, we prove that if for any graph $ G$, a monotone map on a $ G$-like continuum $ X$ has positive topological entropy, then the continuum $ X$ contains an indecomposable subcontinuum. Also we study topological entropy of monotone maps on Suslinean continua. ","subitem_description_type":"Abstract"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"American Mathematical Society"}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1090/proc/14602","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"©2019 American Mathematical Society"}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0002-9939","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00781790","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"加藤, 久男"},{"creatorName":"カトウ, ヒサオ","creatorNameLang":"ja-Kana"},{"creatorName":"KATO, Hisao","creatorNameLang":"en"}],"nameIdentifiers":[{},{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-01-23"}],"displaytype":"detail","filename":"PAMS_147-10.pdf","filesize":[{"value":"223.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"PAMS_147-10","url":"https://tsukuba.repo.nii.ac.jp/record/54050/files/PAMS_147-10.pdf"},"version_id":"fda6d3d5-16ba-46c3-b295-0d75dd9e6d3c"}]},"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":"Monotone maps of $G$-like continua with positive topological entropy yield indecomposability","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Monotone maps of $G$-like continua with positive topological entropy yield indecomposability","subitem_title_language":"en"}]},"item_type_id":"5","owner":"1","path":["1191","440"],"pubdate":{"attribute_name":"公開日","attribute_value":"2020-01-23"},"publish_date":"2020-01-23","publish_status":"0","recid":"54050","relation_version_is_last":true,"title":["Monotone maps of $G$-like continua with positive topological entropy yield indecomposability"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T09:28:09.395003+00:00"}