Nonwandering sets of maps on the circle
Let f be a continuous map of the circle S1 into itself. And let R(f),Λ(f),Γ(f), and Ω(f) denote the set of recurrent points, ω-limit points, γ-limit points, and nonwandering points of f, respectively. In this paper, we show that each point of Ω(f)\R(f)¯ is one-side isolated, and prove that
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299220492 |
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| _version_ | 1832545668019781632 |
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| author | Seung Wha Yeom Kyung Jin Min Seong Hoon Cho |
| author_facet | Seung Wha Yeom Kyung Jin Min Seong Hoon Cho |
| author_sort | Seung Wha Yeom |
| collection | DOAJ |
| description | Let f be a continuous map of the circle S1 into itself. And let R(f),Λ(f),Γ(f), and Ω(f) denote the set of recurrent points, ω-limit points, γ-limit points, and nonwandering points of f, respectively. In this paper, we show that each point of Ω(f)\R(f)¯ is one-side isolated, and prove that |
| format | Article |
| id | doaj-art-b891b5d5c92343bd950e237da08acb0e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b891b5d5c92343bd950e237da08acb0e2025-02-03T07:25:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-01221495410.1155/S0161171299220492Nonwandering sets of maps on the circleSeung Wha Yeom0Kyung Jin Min1Seong Hoon Cho2Department of Mathematics, Seoul National University of Technology, Nowon-Gu, Seoul 139-743, KoreaDepartment of Mathematics, Seoul National University of Technology, Nowon-Gu, Seoul 139-743, KoreaDepartment of Mathematics, Hanseo University, Chungnam, Seosan 356-820, KoreaLet f be a continuous map of the circle S1 into itself. And let R(f),Λ(f),Γ(f), and Ω(f) denote the set of recurrent points, ω-limit points, γ-limit points, and nonwandering points of f, respectively. In this paper, we show that each point of Ω(f)\R(f)¯ is one-side isolated, and prove thathttp://dx.doi.org/10.1155/S0161171299220492Nonwandering pointrecurrent pointone-side isolated. |
| spellingShingle | Seung Wha Yeom Kyung Jin Min Seong Hoon Cho Nonwandering sets of maps on the circle International Journal of Mathematics and Mathematical Sciences Nonwandering point recurrent point one-side isolated. |
| title | Nonwandering sets of maps on the circle |
| title_full | Nonwandering sets of maps on the circle |
| title_fullStr | Nonwandering sets of maps on the circle |
| title_full_unstemmed | Nonwandering sets of maps on the circle |
| title_short | Nonwandering sets of maps on the circle |
| title_sort | nonwandering sets of maps on the circle |
| topic | Nonwandering point recurrent point one-side isolated. |
| url | http://dx.doi.org/10.1155/S0161171299220492 |
| work_keys_str_mv | AT seungwhayeom nonwanderingsetsofmapsonthecircle AT kyungjinmin nonwanderingsetsofmapsonthecircle AT seonghooncho nonwanderingsetsofmapsonthecircle |