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http://dx.doi.org/10.14403/jcms.2014.27.4.721

IRREDUCIBLE REIDEMEISTER ORBIT SETS

Lee, Seoung Ho (Department of mathematics Mokwon University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.27, no.4, 2014 , pp. 721-734 More about this Journal

Abstract

The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, much as the Reidemeister set does in Nielsen fixed point theory. Extending our work on Reidemeister orbit sets, we obtain algebraic results such as addition formulae for irreducible Reidemeister orbit sets. Similar formulae for Nielsen type irreducible essential orbit numbers are also proved for fibre preserving maps.

Keywords

Reidemeister orbit sets; essential orbit classes; Nielsen type numbers;

Citations & Related Records

Reference

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