2011/07/27 by Philip R. Heath, Heath, Philip R., P. Christopher Staecker +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.AT #math.DS #msc:37C25 #msc:55M20
paper · pdf · doi:10.48550/arxiv.1107.5510
30 pages
arxiv created 2011/07/27 · arxiv updated 2011/07/28
As the title suggests, this paper gives a Nielsen theory of coincidences of iterates of two self maps f, g of a closed manifold. The ideas is, as much as possible, to generalize Nielsen type periodic point theory, but there are many obstacles. Many times we get similar results to the "classical ones" in Nielsen periodic point theory, but with stronger hypotheses.