Article ID Journal Published Year Pages File Type
4658963 Topology and its Applications 2012 9 Pages PDF
Abstract

We compute the Nielsen number N(f) of a selfmap f of a closed three-dimensional manifold with Sol-geometry. In particular, we show that for a self homeomorphism f, the Nielsen number N(f) is either 0 or 4 and the Reidemeister number R(f) is either ∞ or 4, respectively.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology