바로가기메뉴

본문 바로가기 주메뉴 바로가기
 
 

logo

  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

RECURSIVE PROPERTIES OF A MAP ON THE CIRCLE

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)

Abstract

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

keywords

한국수학교육학회지시리즈B:순수및응용수학