Description

• Title:
  Topological complexity of $S^3/Q_8$ as fibrewise L-S category
• Creator:
  Iwase, Norio;
  Miyata, Yuya
• Description:
  In 2010, M. Sakai and the first author showed that the topological complexity of a space $X$ coincides with the fibrewise unpointed L-S category of a pointed fibrewise space $\proj_{1} \colon X \times X \to X$ with the diagonal map $\Delta \colon X \to X \times X$ as its section. In this paper, we describe our algorithm how to determine the fibrewise L-S category or the Topological Complexity of a topological spherical space form. Especially, for $S^3/Q_8$ where $Q_8$ is the quaternion group, we write a python code to realise the algorithm to determine its Topological Complexity.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2023 Norio Iwase, Yuya Miyata;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2023.09.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 62, No 1 (September 2023); 239 - 265;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/46312/36561 ;https://apcz.umk.pl/TMNA/article/view/46312/36562
• Subject:
  Topological complexity;
  space form;
  quaternion group;
  python program;
  Primary: 55M30;
  Secondary: 55R70, 55M35, 55P35, 57T30
• Identifier: https://apcz.umk.pl/TMNA/article/view/46312
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other