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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

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

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.