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A NOTE ON NIELSEN TYPE NUMBERS
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 Title & Authors
A NOTE ON NIELSEN TYPE NUMBERS
Lee, Seoung-Ho;
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 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;
 Language
English
 Cited by
1.
Estimation of the minimal number of periodic points for smooth self-maps of odd dimensional real projective spaces, Topology and its Applications, 2012, 159, 18, 3752  crossref(new windwow)
 References
1.
P. R. Heath and E. Keppelmann, Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds. I, Topology Appl. 76 (1997), no. 3, 217-247. crossref(new window)

2.
P. R. Heath, R. Piccinini, and C. You, Nielsen-type numbers for periodic points. I, Topological fixed point theory and applications (Tianjin, 1988), 88-106, Lecture Notes in Math., 1411, Springer, Berlin, 1989.

3.
P. R. Heath and C. You, Nielsen-type numbers for periodic points. II, Topology Appl. 43 (1992), no. 3, 219-236. crossref(new window)

4.
J. Jezierski, Wecken’s theorem for periodic points, Topology 42 (2003), no. 5, 1101-1124. crossref(new window)

5.
B. Jiang, Lectures on Nielsen Fixed Point Theory, Contemporary Mathematics, 14. American Mathematical Society, Providence, R.I., 1983.

6.
B. Jiang, Estimation of the number of periodic orbits, Pacific J. Math. 172 (1996), no. 1, 151-185.

7.
B. Jiang, S. H. Lee, and M. H. Woo, Reidemeister orbit sets, Fund. Math. 183 (2004), no. 2, 139-156. crossref(new window)