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  1. 040 理学部
  2. 0401 学術論文

TOTALLY NORMAL CELLULAR STRATIFIED SPACES AND APPLICATIONS TO THE CONFIGURATION SPACE OF GRAPHS

http://hdl.handle.net/10091/00019122
08333487-412a-4783-98a2-b59be7e8bbfc
名前 / ファイル ライセンス アクション
TOTALLY_NORMAL_CELLULAR_STRATIFIED_SPACES_APPLICATIONS.pdf TOTALLY_NORMAL_CELLULAR_STRATIFIED_SPACES_APPLICATIONS.pdf (449.2 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2016-08-29
タイトル
言語 en
タイトル TOTALLY NORMAL CELLULAR STRATIFIED SPACES AND APPLICATIONS TO THE CONFIGURATION SPACE OF GRAPHS
言語
言語 eng
キーワード
主題Scheme Other
主題 Cellular stratified space
キーワード
主題Scheme Other
主題 configuration space
キーワード
主題Scheme Other
主題 acycylic category
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ journal article
著者 Furuse, Mizuki

× Furuse, Mizuki

WEKO 51110

Furuse, Mizuki

Search repository
Mukouyama, Takashi

× Mukouyama, Takashi

WEKO 51111

Mukouyama, Takashi

Search repository
Tamaki, Dai

× Tamaki, Dai

WEKO 51112

Tamaki, Dai

Search repository
信州大学研究者総覧へのリンク
氏名 Tamaki, Dai
URL http://soar-rd.shinshu-u.ac.jp/profile/ja.OafeOUkh.html
出版者
出版者 JULIUSZ SCHAUDER CTR NONLINEAR STUDIES
引用
内容記述タイプ Other
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
抄録
内容記述タイプ Abstract
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)
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 1230-3429
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AA11059678
DOI
関連識別子
識別子タイプ DOI
関連識別子 https://doi.org/10.12775/TMNA.2015.010
関連名称
関連名称 10.12775/TMNA.2015.010
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=000353363200011
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