Description

• Title:
  Lusternik-Schnirelmann theory to topological complexity from $A_{\infty}$-view point
• Creator:
  Iwase, Norio
• Description:
  We are trying to look over the Lusternik-Schnirelmann theory (L-S theory, for short) and the Topological Complexity (TC, for short) as a natural extension of the L-S theory. In particular, we focus on the impact of the ideas originated from E. Fadell and S. Husseini on both theories. More precisely, we see how their ideas on a category weight and a relative category drive the L-S theory and the TC.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Norio Iwase
• Date:
  2023.02.26
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 61, No 1 (March 2023); 217 - 238;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/42823/34988 ;https://apcz.umk.pl/TMNA/article/view/42823/34989
• Subject:
  Lusternik-Schnirelmann category;
  topological complexity;
  fibrewise theory;
  $A_{\infty}$-structure;
  classifying space;
  Primary 55M30;
  Secondary 18M75, 55P05, 55P10, 55P45, 55P48, 55Q25, 55R35, 55R70, 55S10
• Identifier: https://apcz.umk.pl/TMNA/article/view/42823
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other