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Deloopings of the spaces of long embeddings
http://hdl.handle.net/10091/00019817
http://hdl.handle.net/10091/0001981720be03bf-78dc-433c-ab9f-236b272cbd3a
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2017-09-19 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Deloopings of the spaces of long embeddings | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | the spaces of long embeddings | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | topological Stiefel manifolds | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | BV structures | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | spinning | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Sakai, Keiichi
× Sakai, Keiichi |
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信州大学研究者総覧へのリンク | ||||||
氏名 | Sakai, Keiichi | |||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.CSVOakh.html | |||||
出版者 | ||||||
出版者 | POLISH ACAD SCIENCES INST MATHEMATICS | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | FUNDAMENTA MATHEMATICAE. 2014:27-34 (2014) | |||||
書誌情報 |
FUNDAMENTA MATHEMATICAE 巻 227, 号 1, p. 27-34, 発行日 2014 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The homotopy fiber of the inclusion from the long embedding space to the long immersion space is known to be an iterated based loop space (if the codimension is greater than two). In this paper we deloop the homotopy fiber to obtain the topological Stiefel manifold, combining results of Lashof and of Lees. We also give a delooping of the long embedding space, which can be regarded as a version of Morlet-Burghelea-Lashof’s delooping of the diffeomorphism group of the disk relative to the boundary. As a corollary, we show that the homotopy fiber is weakly equivalent to a space on which the framed little disks operad acts possibly nontrivially, and hence its rational homology is a(higher) BV-algebra in a stable range of dimensions. | |||||
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 | 0016-2736 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00192803 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.4064/fm227-1-3 | |||||
関連名称 | 10.4064/fm227-1-3 | |||||
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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