Description

• Title:
  Homologies are infinitely complex
• Creator:
  Szűcs, András;
  Grant, Mark
• Description:
  We show that for any $k>1$, stratified sets of finite complexity are insufficient to realize all homology classes of codimension $k$ in all smooth manifolds. We also prove a similar result concerning smooth generic maps whose double-point sets are co-oriented.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2015 Topological Methods in Nonlinear Analysis
• Date:
  2015.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 45, No 1 (March 2015); 55 - 62;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.003/5338
• Subject:
  Homology of manifolds;
  realizing homology classes;
  Pontryagin-Thom construction for stratified sets;
  double-point co-oriented maps;
  Primary 57R95;
  Secondary 57R19;
  57R45;
  55N10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2015.003
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other