Description

• Title:
  Root problem for convenient maps
• Creator:
  Fenille, Marcio Colombo;
  Neto, Oziride Manzoli
• Description:
  In this paper we study when the minimal number of roots of the so-called convenient maps from two-dimensional CW complexes into closed surfaces is zero. We present several necessary and sufficient conditions for such a map to be root free. Among these conditions we have the existence of specific liftings for the homomorphism induced by the map on the fundamental groups, existence of the so-called mutation of a specific homomorphism also induced by the map, and existence of particular solutions of specific systems of equations on free groups over specific subgroups.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2010.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 36, No 2 (December 2010); 327 - 352;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.039/8459
• Subject:
  Root problem;
  convenient map;
  mutation of homomorphism;
  symbolic mutation;
  system of equation on free group;
  Primary 55M20;
  Secondary 20F99
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.039
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other