A Nielsen theory for coincidences of iterates

Philip Heath; Christopher P. Staecker

A Nielsen theory for coincidences of iterates

Fairfield University

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Topology and its Applications
State	Published - Jan 1 2012

Keywords

Algebraic topology

Disciplines

Computer Sciences
Physical Sciences and Mathematics

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A Nielsen theory for coincidences of iteratesFinal published version, 559 KBLicense: CC BY

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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.",

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AU - Staecker, Christopher P.

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N2 - 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.

AB - 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.

KW - Algebraic topology

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M3 - Article

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JF - Topology and its Applications

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A Nielsen theory for coincidences of iterates

Abstract

Keywords

Disciplines

Access to Document

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