A Nielsen theory for coincidences of iterates

Mathematics – Algebraic Topology

Scientific paper

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30 pages

Scientific paper

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.

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