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A Nielsen theory for coincidences of iterates

Algebraic Topology 2011-07-28 v1 Dynamical Systems

Abstract

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.

Keywords

Cite

@article{arxiv.1107.5510,
  title  = {A Nielsen theory for coincidences of iterates},
  author = {Philip R. Heath and P. Christopher Staecker},
  journal= {arXiv preprint arXiv:1107.5510},
  year   = {2011}
}

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30 pages