Description

• Title:
  Strong surjections from two-complexes with trivial top-cohomology onto nonorientable surfaces
• Creator:
  Fenille, Marcio Colombo
• Description:
  For every nonorientable closed surface $\U$, we present a strong surjection $f\colon X\to\U$, where $X$ is a finite two-dimensional {\sc cw}-complex with trivial second integer cohomology group. This provides an answer, for all nonorientable closed surfaces, to a problem in topological root theory for which we have hitherto known solutions only for the sphere, the torus, the projective plane and the Klein bottle.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2024 Marcio Colombo Fenille
• Date:
  2024.09.21
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 64, No 2 (December 2024); 471 - 477;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/55341/39786 ;https://apcz.umk.pl/TMNA/article/view/55341/39787
• Subject:
  Strong surjections;
  two-complexes;
  nonorientable surfaces;
  55M20
• Identifier: https://apcz.umk.pl/TMNA/article/view/55341
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other