Fixed Point Theory and Applications
Volume 2006 (2006), Issue 2, Pages Article 37807, 11 p.
doi:10.1155/FPTA/2006/37807

Nielsen number of a covering map

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.