Estimating Nielsen Numbers on Wedge Product Spaces

Abstract

Let f : X → X be a self-map of a finite polyhedron that is an aspherical wedge product space X. In this paper, we estimate the Nielsen number N( f ) of f . In particular, we study some algebraic properties of the free products and then estimate Nielsen numbers on torus wedge surface with boundary, Klein bottle wedge surface with boundary, and torus wedge torus.