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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.


Copyright Elsevier, Topology and its Applications.

This is the author’s version of a work that was accepted for publication in Topology and its Appllications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version has been accepted for publication in Topology and its Applications .

Publication Title

Topology and its Applications

Published Citation

Heath, Philip and Staecker, P. Christopher, A Nielsen theory for coincidences of iterates. Topology and its Applications. Accepted for publication 2012.

Peer Reviewed