Description

• Title:
  Higher topological complexity of subcomplexes of products of spheres and related polyhedral product spaces
• Creator:
  González, Jesús;
  Gutiérrez, Bárbara;
  Yuzvinsky, Sergey
• Description:
  We construct ``higher'' motion planners for automated systems whose spaces of states are homotopy equivalent to a polyhedral product space $Z(K,\{(S^{k_i},\star)\})$, {e.g. robot arms with restrictions on the possible combinations of simultaneously moving nodes.} Our construction is shown to be optimal by explicit cohomology calculations. The higher topological complexity of other {families of} polyhedral product spaces is also determined.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.08.17
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 2 (December 2016); 419 - 451;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.051/9563 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.051/9564
• Subject:
  Sequential motion planning;
  Schwarz genus;
  polyhedral products;
  zero-divisors;
  55M30 (20F36;
  52B70;
  52C35;
  55U10;
  68T40)
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.051
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other