{"_buckets": {"deposit": "f2e7ec58-4540-4d01-872e-6affb7323bf6"}, "_deposit": {"id": "11975", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11975"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00011975"}, "item_6_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2008-03", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "3", "bibliographicPageEnd": "555", "bibliographicPageStart": "521", "bibliographicVolumeNumber": "258", "bibliographic_titles": [{"bibliographic_title": "Mathematische Zeitschrift"}]}]}, "item_6_description_19": {"attribute_name": "\u5185\u5bb9\u8a18\u8ff0", "attribute_value_mlt": [{"subitem_description": "The original publication is available at www.springerlink.com.", "subitem_description_type": "Other"}]}, "item_6_description_30": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\uff08\u30b3\u30f3\u30c6\u30f3\u30c4\u306e\u7a2e\u985e\uff09", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_6_description_31": {"attribute_name": "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8\uff1amime\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "\u5f15\u7528", "attribute_value_mlt": [{"subitem_description": "MATHEMATISCHE ZEITSCHRIFT. 258(3): 521-555 (2008)", "subitem_description_type": "Other"}]}, "item_6_link_3": {"attribute_name": "\u4fe1\u5dde\u5927\u5b66\u7814\u7a76\u8005\u7dcf\u89a7\u3078\u306e\u30ea\u30f3\u30af", "attribute_value_mlt": [{"subitem_link_text": "Kuribayashi, K", "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_text": "Web of Science", "subitem_link_url": "http://gateway.isiknowledge.com/gateway/Gateway.cgi?\u0026GWVersion=2\u0026SrcAuth=ShinshuUniv\u0026SrcApp=ShinshuUniv\u0026DestLinkType=FullRecord\u0026DestApp=WOS\u0026KeyUT=000252389200005"}]}, "item_6_publisher_4": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "SPRINGER"}]}, "item_6_relation_48": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "10.1007/s00209-007-0184-6"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "http://dx.doi.org/10.1007/s00209-007-0184-6", "subitem_relation_type_select": "DOI"}}]}, "item_6_select_64": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "item_6_source_id_35": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0025-5874", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0025-5874", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_40": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "attribute_value_mlt": [{"subitem_source_identifier": "AA0072420X", "subitem_source_identifier_type": "NCID"}]}, "item_6_text_69": {"attribute_name": "wosonly authkey", "attribute_value_mlt": [{"subitem_text_value": "evaluation subgroup; Gottlieb group; Whitehead product; Sullivan model"}]}, "item_6_text_70": {"attribute_name": "wosonly keywords", "attribute_value_mlt": [{"subitem_text_value": "HOMOGENEOUS SPACES; MINIMAL MODELS; H-SPACES; HOMOTOPY; CATEGORY; HOMOLOGY; SEQUENCE"}]}, "item_6_textarea_68": {"attribute_name": "wosonly abstract", "attribute_value_mlt": [{"subitem_textarea_value": "Let f : U -\u003e X be a map from a connected nilpotent space U to a connected rational space X. The evaluation subgroup G *(U, X; f), which is a generalization of the Gottlieb group of X, is investigated. The key device for the study is an explicit Sullivan model for the connected component containing f of the function space of maps from U to X, which is derived from the general theory of such a model due to Brown and Szczarba (Trans Am Math Soc 349, 4931-4951, 1997). In particular, we show that non Gottlieb elements are detected by analyzing a Sullivan model for the map f and by looking at non-triviality of higher order Whitehead products in the homotopy group of X. The Gottlieb triviality of a fibration in the sense of Lupton and Smith (The evaluation subgroup of a fibre inclusion, 2006) is also discussed from the function space model point of view. Moreover, we proceed to consideration of the evaluation subgroup of the fundamental group of a nilpotent space. In consequence, the first Gottlieb group of the total space of each S-1-bundle over the n-dimensional torus is determined explicitly in the non-rational case."}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Hirato,  Y"}], "nameIdentifiers": [{"nameIdentifier": "36706", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Kuribayashi,  K"}], "nameIdentifiers": [{"nameIdentifier": "36707", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Oda,  N"}], "nameIdentifiers": [{"nameIdentifier": "36708", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "R-gottlieb-v12.pdf", "filesize": [{"value": "314.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 314500.0, "url": {"label": "R-gottlieb-v12.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11975/files/R-gottlieb-v12.pdf"}, "version_id": "ba9a9fd3-cf48-4ca2-8aff-f6b6346e08fb"}]}, "item_keyword": {"attribute_name": "\u30ad\u30fc\u30ef\u30fc\u30c9", "attribute_value_mlt": [{"subitem_subject": "evaluation subgroup", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Gottlieb group", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Whitehead product", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Sullivan model", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "A function space model approach to the rational evaluation subgroups", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "A function space model approach to the rational evaluation subgroups"}]}, "item_type_id": "6", "owner": "1", "path": ["1169/1170"], "permalink_uri": "http://hdl.handle.net/10091/1006", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_name_i18n": "\u516c\u958b\u65e5", "attribute_value": "2008-02-28"}, "publish_date": "2008-02-28", "publish_status": "0", "recid": "11975", "relation": {}, "relation_version_is_last": true, "title": ["A function space model approach to the rational evaluation subgroups"], "weko_shared_id": 3}