Description

• Title:
  On nonsymmetric theorems for $(H,G)$-coincidences
• Creator:
  de Mattos, Denise;
  dos Santos, Edivaldo L.
• Description:
  Let $X$ be a compact Hausdorff space, $\varphi\colon X\to S^{n}$ a continuous map into the $n$-sphere $S^n$ that induces a nonzero homomorphism $\varphi^{*}\colon H^{n}(S^{n};{\mathbb Z}_{p})\to H^{n}(X;{\mathbb Z}_{p})$, $Y$ a $k$-dimensional CW-complex and $f\colon X\to Y$ a continuous map. Let $G$ a finite group which acts freely on $S^{n}$. Suppose that $H\subset G$ is a normal cyclic subgroup of a prime order. In this paper, we define and we estimate the cohomological dimension of the set $A_{\varphi}(f,H,G)$ of $(H,G)$-coincidence points of $f$ relative to $\varphi$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2009.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 33, No 1 (March 2009); 105 - 119;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.008/8647
• Subject:
  Borsuk-Ulam theorem;
  ${\Bbb Z}_{p}$-index;
  $(H;
  G)$-coincidence;
  free actions;
  Primary 55M20 55R91;
  Secondary 55R25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.008
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other