Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 37807, 11 pages

Nielsen number of a covering map

Jerzy Jezierski

Department of Mathematics, University of Agriculture, Nowoursynowska 159, Warszawa 02 766, Poland

Received 23 November 2004; Revised 13 May 2005; Accepted 24 July 2005

Copyright © 2006 Jerzy Jezierski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider a finite regular covering pH:X˜HX over a compact polyhedron and a map f:XX admitting a lift f˜:X˜HX˜H. We show some formulae expressing the Nielsen number N(f) as a linear combination of the Nielsen numbers of its lifts.