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A NOTE ON NIELSEN TYPE NUMBERS

Lee, Seoung-Ho

  • Published : 2010.04.30

Abstract

The Reidemeister orbit set plays a crucial role in the Nielsen type theory of periodic orbits, such as the Reidemeister set does in Nielsen fixed point theory. In this paper, using Heath and You's methods on Nielsen type numbers, we show that these numbers can be evaluated by the set of essential orbit classes under suitable hypotheses, and obtain some formulas in some special cases.

Keywords

periodic point class;Nielsen number;Nielsen type number

References

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  1. Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces vol.159, pp.18, 2012, https://doi.org/10.1016/j.topol.2012.08.027