Description

• Title:
  Incompressibility and global inversion
• Creator:
  Balreira, Eduardo Cabral
• Description:
  Given a local diffeomorphism $f\colon \mathbb{R}^n\to \mathbb{R}^n$, we consider certain incompressibility conditions on the parallelepiped $Df(x)([0,1]^n)$ which imply that the pre-image of an affine subspace is non-empty and has trivial homotopy groups. These conditions are then used to establish criteria for $f$ to be globally invertible, generalizing in all dimensions the previous results of M. Sabatini.
• 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 35, No 1 (March 2010); 69 - 76;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.005/8435
• Subject:
  Global injectivity;
  global invertibility;
  Hadamard's theorem;
  Primary 58K15;
  Secondary 57R30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.005
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other