Description

• Title:
  Fibonacci-like unimodal inverse limit spaces and the core Ingram conjecture
• Creator:
  Bruin, Henk;
  Štimac, Sonja
• Description:
  We study the structure of inverse limit space of so-called Fibonacci-like tent maps. The combinatorial constraints implied by the Fibonacci-like assumption allow us to introduce certain chains that enable a more detailed analysis of symmetric arcs within this space than is possible in the general case. We show that link-symmetric arcs are always symmetric or a well-understood concatenation of quasi-symmetric arcs. This leads to the proof of the Ingram Conjecture for cores of Fibonacci-like unimodal inverse limits.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 47, No 1 (March 2016); 147 - 185;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.001/7542 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.001/7543
• Subject:
  Tent map;
  inverse limit space;
  Fibonacci unimodal map;
  structure of inverse limit spaces;
  54H20;
  37B45;
  37E05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.001
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other