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  1. 040 理学部
  2. 0401 学術論文

Deloopings of the spaces of long embeddings

http://hdl.handle.net/10091/00019817
http://hdl.handle.net/10091/00019817
20be03bf-78dc-433c-ab9f-236b272cbd3a
名前 / ファイル ライセンス アクション
25800038_02.pdf 25800038_02.pdf (106.9 kB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 103913

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
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
URL http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000342410100003
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