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http://dx.doi.org/10.4134/CKMS.2010.25.2.263

A NOTE ON NIELSEN TYPE NUMBERS  

Lee, Seoung-Ho (DEPARTMENT OF MATHEMATICS MOKWON UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.25, no.2, 2010 , pp. 263-271 More about this Journal
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;
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