Cantor Limit Set of a Topological Transformation Group on S1
The limit set of a topological transformation group on S1 generated by two generators is proved to be totally disconnected (or thin) and perfect if the conditions (i–v) are satisfied. A concrete application to a Doubly Periodic Riccati equation is given.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/342759 |
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| _version_ | 1832563622108200960 |
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| author | Keying Guan Zuming Chen |
| author_facet | Keying Guan Zuming Chen |
| author_sort | Keying Guan |
| collection | DOAJ |
| description | The limit set of a topological transformation group on S1 generated by two generators is proved to be totally disconnected (or thin) and perfect if the conditions (i–v) are satisfied. A concrete application to a Doubly Periodic Riccati equation is given. |
| format | Article |
| id | doaj-art-25ebd894cac84690828aaa943f88ac77 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-25ebd894cac84690828aaa943f88ac772025-02-03T01:12:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/342759342759Cantor Limit Set of a Topological Transformation Group on S1Keying Guan0Zuming Chen1Science College, Northern Jiao Tong University, Beijing 100044, ChinaScience College, Beijing University of Aeronautics and Astronautics, Beijing 100083, ChinaThe limit set of a topological transformation group on S1 generated by two generators is proved to be totally disconnected (or thin) and perfect if the conditions (i–v) are satisfied. A concrete application to a Doubly Periodic Riccati equation is given.http://dx.doi.org/10.1155/2011/342759 |
| spellingShingle | Keying Guan Zuming Chen Cantor Limit Set of a Topological Transformation Group on S1 International Journal of Mathematics and Mathematical Sciences |
| title | Cantor Limit Set of a Topological Transformation Group on S1 |
| title_full | Cantor Limit Set of a Topological Transformation Group on S1 |
| title_fullStr | Cantor Limit Set of a Topological Transformation Group on S1 |
| title_full_unstemmed | Cantor Limit Set of a Topological Transformation Group on S1 |
| title_short | Cantor Limit Set of a Topological Transformation Group on S1 |
| title_sort | cantor limit set of a topological transformation group on s1 |
| url | http://dx.doi.org/10.1155/2011/342759 |
| work_keys_str_mv | AT keyingguan cantorlimitsetofatopologicaltransformationgroupons1 AT zumingchen cantorlimitsetofatopologicaltransformationgroupons1 |