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ISSN : 1226-0657

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Vol.2 No.2

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RECURSIVE PROPERTIES OF A MAP ON THE CIRCLE

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1995, v.2 no.2, pp.157-162
Cho, Seong-Hoon (Hanseo University)
Min, Kyung-Jin (Myong Ji University)
Yang, Seung-Kab (Myong Ji University)
Cho, Seong-Hoon, Min, Kyung-Jin, & Yang, Seung-Kab. (1995). RECURSIVE PROPERTIES OF A MAP ON THE CIRCLE. 한국수학교육학회지시리즈B:순수및응용수학, 2(2), 157-162.

Abstract

Let I be the interval, <TEX>$S^1$</TEX> the circle and let X be a compact metric space. And let <TEX>$C^{circ}(X,\;X)$</TEX> denote the set of continuous maps from X into itself. For any f<TEX>$f\in\;C\circ(X,\;X),\;let\;P(f),\;R(f),\;\Gamma(f),\;\Lambda(f)\;and\;\Omega(f)$</TEX> denote the collection of the periodic points, recurrent points, <TEX>${\gamma}-limit{\;}points,{\;}{\omega}-limit$</TEX> points and nonwandering points, respectively.(omitted)

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한국수학교육학회지시리즈B:순수및응용수학

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