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  1. 040 理学部
  2. 0401 学術論文

Upper and Lower Bounds of the (co)chain Type Level of a Space

http://hdl.handle.net/10091/17196
http://hdl.handle.net/10091/17196
10e5a242-338a-43d9-8424-eef80fd36d52
名前 / ファイル ライセンス アクション
levels_for_fibrations-neo2.pdf levels_for_fibrations-neo2.pdf (182.8 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2013-10-21
タイトル
言語 en
タイトル Upper and Lower Bounds of the (co)chain Type Level of a Space
言語
言語 eng
キーワード
主題Scheme Other
主題 Level
キーワード
主題Scheme Other
主題 Semi
キーワード
主題Scheme Other
主題 free module
キーワード
主題Scheme Other
主題 Triangulated category
キーワード
主題Scheme Other
主題 Formal space
キーワード
主題Scheme Other
主題 Borel construction
キーワード
主題Scheme Other
主題 L.-S. category
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ journal article
著者 Kuribayashi, Katsuhiko

× Kuribayashi, Katsuhiko

WEKO 36020

Kuribayashi, Katsuhiko

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信州大学研究者総覧へのリンク
氏名 Kuribayashi, Katsuhiko
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 ALGEBRAS AND REPRESENTATION THEORY. 16(1):129-153 (2013)
書誌情報 ALGEBRAS AND REPRESENTATION THEORY

巻 16, 号 1, p. 129-153, 発行日 2013-02
抄録
内容記述タイプ Abstract
内容記述 We establish an upper bound for the cochain type level of the total space of a pull-back fibration. It explains to us why the numerical invariants for principal bundles over the sphere are less than or equal to two. Moreover computational examples of the levels of path spaces and Borel constructions, including biquotient spaces and Davis-Januszkiewicz spaces, are presented. We also show that the chain type level of the homotopy fibre of a map is greater than the E-category in the sense of Kahl, which is an algebraic approximation of the Lusternik-Schnirelmann category of the map. The inequality fits between the grade and the projective dimension of the cohomology of the homotopy fibre.
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 1386-923X
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AA11256919
DOI
識別子タイプ DOI
関連識別子 https://doi.org/10.1007/s10468-011-9298-y
関連名称 10.1007/s10468-011-9298-y
権利
権利情報 The final publication is available at www.springerlink.com
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=000314746100007
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