Description

• Title:
  On the bounded index property for products of aspherical polyhedra
• Creator:
  Zhang, Qiang;
  Ye, Shengkui
• Description:
  A compact polyhedron $X$ is said to have the Bounded Index Property for Homotopy Equivalences (BIPHE) if there is a finite bound $\B$ such that for any homotopy equivalence $f\colon X\rightarrow X$ and any fixed point class $\mathbf{F}$ of $f$, the index $|\mathrm{ind}(f,\mathbf{F})|\leq \mathcal{B}$. In this note, we consider the product of compact polyhedra, and give some sufficient conditions for it to have BIPHE. Moreover, we show that products of closed Riemannian manifolds with negative sectional curvature, in particular hyperbolic manifolds, have BIPHE, which gives an affirmative answer to a special case of a question asked by Boju Jiang.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2020 Topological Methods in Nonlinear Analysis
• Date:
  2020.11.27
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 56, No 2 (December 2020); 419 - 432;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.116/27120 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.116/27121
• Subject:
  Bounded index property;
  fixed point;
  aspherical polyhedron;
  negative curved manifold;
  product;
  Primary;
  55M20;
  55N10;
  Secondary;
  32Q45
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.116
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other