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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.
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참고문헌 (7)
참고문헌 신청
B. Jiang / 1983 / Lectures on Nielsen Fixed Point Theory, Contemporary Mathematics / American Mathematical Society 14
B. Jiang / 1996 / Estimation of the number of periodic orbits / Pacific J. Math. 172 (1) : 151 ~ 185
B. Jiang / 2004 / Reidemeister orbit sets / Fund. Math. 183 (2) : 139 ~ 156
J. Jezierski / 2003 / Wecken’s theorem for periodic points / Topology 42 (5) : 1101 ~ 1124
P. R. Heath / 1989 / Nielsen-type numbers for periodic points. I, Topological fixed point theory and applications (Tianjin, 1988) / Lecture Notes in Math. : 88 ~ 106
B. Jiang / 1996 / Estimation of the number of periodic orbits / Pacific J. Math. 172 (1) : 151 ~ 185
B. Jiang / 2004 / Reidemeister orbit sets / Fund. Math. 183 (2) : 139 ~ 156
J. Jezierski / 2003 / Wecken’s theorem for periodic points / Topology 42 (5) : 1101 ~ 1124
P. R. Heath / 1989 / Nielsen-type numbers for periodic points. I, Topological fixed point theory and applications (Tianjin, 1988) / Lecture Notes in Math. : 88 ~ 106
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