論文

査読有り
2010年11月

On the symmetric hyperspace of the circle

TOPOLOGY AND ITS APPLICATIONS
  • Naotsugu Chinen
  • ,
  • Akira Koyama

157
17
開始ページ
2613
終了ページ
2621
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/j.topol.2010.07.012
出版者・発行元
ELSEVIER SCIENCE BV

By X(n), n >= 1, we denote the n-th symmetric hyperspace of a metric space X as the space of non-empty finite subsets of X with at most n elements endowed with the Hausdorff metric. In this paper we shall describe the n-th symmetric hyperspace S(1) (n) as a compactification of an open cone over Sigma D(n-2), here D(n-2) is the higher-dimensional dunce hat introduced by Andersen, Marjanovic and Schori (1993) [2] if is is even, and D(n-2) has the homotopy type of S(n-2) if is is odd (see Andersen et al. (1993) [2]). Then we can determine the homotopy type of S' (n) and detect several topological properties of S(1)(n). (C) 2010 Elsevier B.V. All rights reserved.

Web of Science ® 被引用回数 : 4

リンク情報
DOI
https://doi.org/10.1016/j.topol.2010.07.012
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000283512800004&DestApp=WOS_CPL

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