Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 37807, 11 pages
doi:10.1155/FPTA/2006/37807
Nielsen number of a covering map
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.
Abstract
We consider a finite regular covering pH:X˜H→X over a compact polyhedron and a map f:X→X admitting a lift f˜:X˜H→X˜H. We show some formulae expressing the
Nielsen number N(f) as a linear combination of the Nielsen
numbers of its lifts.