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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": "著者", "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": "ファイル情報", "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_note", "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": "キーワード", "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": "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": "A function space model approach to the rational evaluation subgroups", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "A function space model approach to the rational evaluation subgroups", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1170"], "permalink_uri": "http://hdl.handle.net/10091/1006", "pubdate": {"attribute_name": "PubDate", "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": -1}
A function space model approach to the rational evaluation subgroups
http://hdl.handle.net/10091/1006
http://hdl.handle.net/10091/10060ccbcd63-571a-4c25-b920-a8f77c8405f7
名前 / ファイル | ライセンス | アクション |
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R-gottlieb-v12.pdf (314.5 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2008-02-28 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | A function space model approach to the rational evaluation subgroups | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.1007/s00209-007-0184-6 | |||||
関連名称 | 10.1007/s00209-007-0184-6 | |||||
キーワード | ||||||
主題 | evaluation subgroup, Gottlieb group, Whitehead product, Sullivan model | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Hirato, Y
× Hirato, Y× Kuribayashi, K× Oda, N |
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信州大学研究者総覧へのリンク | ||||||
氏名 | Kuribayashi, K | |||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.WCyFbUTU.html | |||||
出版者 | ||||||
出版者 | SPRINGER | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | MATHEMATISCHE ZEITSCHRIFT. 258(3): 521-555 (2008) | |||||
書誌情報 |
Mathematische Zeitschrift 巻 258, 号 3, p. 521-555, 発行日 2008-03 |
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内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | The original publication is available at www.springerlink.com. | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0025-5874 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0072420X | |||||
出版タイプ | ||||||
出版タイプ | AM | |||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
WoS | ||||||
表示名 | Web of Science | |||||
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