Hostname: page-component-8448b6f56d-c47g7 Total loading time: 0 Render date: 2024-04-23T08:41:24.314Z Has data issue: false hasContentIssue false
  • English
  • Français

On self-maps which induce identity automorphisms of homology groups

Published online by Cambridge University Press:  25 July 2002

Petar Pavešić
Petar Pavešić
Affiliation:
Department of Mathematics, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia e-mail: petar.pavesic@fmf.uni-lj.si
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We derive a finite normal series for the group {\rm Aut}\nolimits _*(X\;\!) of self-homotopy equivalences which induce identity automorphisms of homology groups, where X is a countable, simply-connected and finite-dimensional CW-complex.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 43 , Issue 2 , May 2001 , pp. 177 - 184
Copyright
2001 Glasgow Mathematical Journal Trust