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Upper and Lower Bounds of the (co)chain Type Level of a Space
http://hdl.handle.net/10091/17196
http://hdl.handle.net/10091/1719610e5a242-338a-43d9-8424-eef80fd36d52
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
levels_for_fibrations-neo2.pdf (182.8 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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| 公開日 | 2013-10-21 | |||||||
| タイトル | ||||||||
| タイトル | Upper and Lower Bounds of the (co)chain Type Level of a Space | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| 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 | |||||||
| キーワード | ||||||||
| 主題 | Level, Semi, free module, Triangulated category, Formal space, Borel construction, 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
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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 | 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 |
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| 抄録 | ||||||||
| 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） | ||||||||
| 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 | |||||||
| 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 | ||||||||
| URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000314746100007 | |||||||
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Cite as
Kuribayashi, Katsuhiko, 2013, Upper and Lower Bounds of the (co)chain Type Level of a Space: SPRINGER, 129–153 p.
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