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  1. 040 理学部
  2. 0401 学術論文

Higher topological complexity and its symmetrization

http://hdl.handle.net/10091/00019123
http://hdl.handle.net/10091/00019123
8b08ea58-5662-492e-94c9-9bbe8f011b75
名前 / ファイル ライセンス アクション
Higher_topological_complexity_and_its_symmetrization.pdf Higher_topological_complexity_and_its_symmetrization.pdf (460.9 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 Higher topological complexity and its symmetrization
言語
言語 eng
キーワード
主題Scheme Other
主題 Lusternik–Schnirelmann category
キーワード
主題Scheme Other
主題 Švarc genus
キーワード
主題Scheme Other
主題 topological complexity
キーワード
主題Scheme Other
主題 motion planning
キーワード
主題Scheme Other
主題 configuration spaces
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ journal article
著者 Basabe, Ibai

× Basabe, Ibai

WEKO 51113

Basabe, Ibai

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Gonzalez, Jesus

× Gonzalez, Jesus

WEKO 51114

Gonzalez, Jesus

Search repository
Rudyak, Yuli B.

× Rudyak, Yuli B.

WEKO 51115

Rudyak, Yuli B.

Search repository
Tamaki, Dai

× Tamaki, Dai

WEKO 51116

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 GEOMETRY & TOPOLOGY PUBLICATIONS
引用
内容記述タイプ Other
内容記述 ALGEBRAIC AND GEOMETRIC TOPOLOGY. 14(4):2103-2124 (2014)
書誌情報 ALGEBRAIC AND GEOMETRIC TOPOLOGY

巻 14, 号 4, p. 2103-2124, 発行日 2014
抄録
内容記述タイプ Abstract
内容記述 We develop the properties of the nth sequential topological complexity TCn, a homotopy invariant introduced by the third author as an extension of Farber's topological model for studying the complexity of motion planning algorithms in robotics. We exhibit close connections of TCn(X) to the Lusternik-Schnirelmann category of cartesian powers of X, to the cup length of the diagonal embedding X hooked right arrow X-n, and to the ratio between homotopy dimension and connectivity of X. We fully compute the numerical value of TCn for products of spheres, closed 1-connected symplectic manifolds and quaternionic projective spaces. Our study includes two symmetrized versions of TCn(X). The first one, unlike Farber and Grant's symmetric topological complexity, turns out to be a homotopy invariant of X; the second one is closely tied to the homotopical properties of the configuration space of cardinality-n subsets of X. Special attention is given to the case of spheres.
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 1472-2747
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AA11963392
DOI
識別子タイプ DOI
関連識別子 https://doi.org/10.2140/agt.2014.14.2103
関連名称 10.2140/agt.2014.14.2103
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=000346150600005
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