... 0} The purpose of this paper is to give a complete computation of the two Nielsen type numbers NPn f and NFn f for all maps on the real projective plane RP2 Preliminaries We list some definitions ... is, the diagram S2 f p ÊÈ2 S2 p f 3.1 ÊÈ2 commutes Assume f is a lifting of f, then the other lifting of f is τ f n , where τ is the nontrivial element of π1 RP2 Here we give the definition of the ... “Computation of the Nielsen type numbers for maps on the Klein bottle,” Journal of the Korean Mathematical Society, vol 45, no 5, pp 1483–1503, 2008 J Jezierski, “Homotopy periodic sets of selfmaps of...