Description

• Title:
  The Bolzano property and the cube-like complexes
• Creator:
  Tkacz, Przemysław
• Description:
  Introducing the \emph{Bolzano property}, we present a topological version of the Poincaré-Miranda theorem. One simple, and one algorithmic proof that $n$-cube-like complexes have this property are given. Moreover, we investigate under what conditions the inverse limit preserves the Bolzano property. Finally, we give a characterization of the Bolzano property for locally connected spaces.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.02.08
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 2 (June 2017); 481 - 495;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.003/10978 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.003/10979
• Subject:
  Simplicial complex;
  fixed point;
  cube-like;
  Poincaré-Miranda;
  54H25;
  54-04;
  55M20;
  54F55;
  52B05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.003
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other