An estimate of the Nielsen number and an example concerning the Lefschetz fixed point theorem

Abstract

Given a map /: X->X of a compact ANR and any finite connected regular covering p: X -> X to which / admits lifts, then one can compute a certain homotopy invariant N H (f) if the Lefschetz numbers of the lifts and the relation of the lifts to the covering transformations are known. H = p {X).