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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
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Abstract

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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