Item type |
学術雑誌論文 / Journal Article(1) |
公開日 |
2016-08-29 |
タイトル |
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タイトル |
TOTALLY NORMAL CELLULAR STRATIFIED SPACES AND APPLICATIONS TO THE CONFIGURATION SPACE OF GRAPHS |
言語 |
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言語 |
eng |
DOI |
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関連識別子 |
https://doi.org/10.12775/TMNA.2015.010 |
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関連名称 |
10.12775/TMNA.2015.010 |
キーワード |
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主題 |
Cellular stratified space, configuration space, acycylic category |
資源タイプ |
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資源 |
http://purl.org/coar/resource_type/c_6501 |
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タイプ |
journal article |
著者 |
Furuse, Mizuki
Mukouyama, Takashi
Tamaki, Dai
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信州大学研究者総覧へのリンク |
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氏名 |
Tamaki, Dai |
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URL |
http://soar-rd.shinshu-u.ac.jp/profile/ja.OafeOUkh.html |
出版者 |
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出版者 |
JULIUSZ SCHAUDER CTR NONLINEAR STUDIES |
引用 |
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内容記述 |
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. 45(1):169-214 (2015) |
書誌情報 |
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS
巻 45,
号 1,
p. 169-214,
発行日 2015-03
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抄録 |
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内容記述 |
The notion of regular cell complexes plays a central role in topological combinatorics because of its close relationship with posets. A generalization, called totally normal cellular stratified spaces, was introduced in [3], [19] by relaxing two conditions; face posets are replaced by acyclic categories and cells with incomplete boundaries are allowed. The aim of this article is to demonstrate the usefulness of totally normal cellular stratified spaces by constructing a combinatorial model for the configuration space of graphs. As an application, we obtain a simpler proof of Ghrist's theorem on the homotopy dimension of the configuration space of graphs. We also make sample calculations of the fundamental group of ordered and unordered configuration spaces of two points for small graphs. |
資源タイプ(コンテンツの種類) |
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内容記述 |
Article |
ISSN |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
1230-3429 |
書誌レコードID |
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収録物識別子タイプ |
NCID |
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収録物識別子 |
AA11059678 |
出版タイプ |
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出版タイプ |
AM |
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出版タイプResource |
http://purl.org/coar/version/c_ab4af688f83e57aa |
WoS |
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URL |
http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000353363200011 |