A note on Nielsen type numbers
Commun. Korean Math. Soc. 2010 Vol. 25, No. 2, 263-271
https://doi.org/10.4134/CKMS.2010.25.2.263
Published online June 1, 2010
Seoung Ho Lee
Mokwon University
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
MSC numbers : Primary 55M20, 57N99
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