MINIMAL SETS OF PERIODS FOR MAPS ON THE KLEIN BOTTLE Kim, Ju-Young; Kim, Sung-Sook; Zhao, Xuezhi;
The main results concern with the self maps on the Klein bottle. We obtain the Reidemeister numbers and the Nielsen numbers for all self maps on the Klein bottle. In terms of the Nielsen numbers of their iterates, we totally determine the minimal sets of periods for all homotopy classes of self maps on the Klein bottle.
periodic point;minimum set of periods;Nielsen number;Klein bottle;