A Note on Almost Periodic Points and Minimal Sets in T1- and T2-Spaces
We show that (1) there exist almost periodic orbits in T2-spaces of which the closures are not minimal sets; (2) there exist minimal sets in locally compact T1-spaces which are not compact; (3) there exist almost periodic orbits in T2-spaces of which the closures contain not only almost periodic poi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2008/262475 |
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| _version_ | 1850222648673435648 |
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| author | Jie-Hua Mai Xin-He Liu |
| author_facet | Jie-Hua Mai Xin-He Liu |
| author_sort | Jie-Hua Mai |
| collection | DOAJ |
| description | We show that (1) there exist almost periodic orbits in T2-spaces of which the closures are not minimal sets; (2) there exist minimal sets in locally compact T1-spaces which are not compact; (3) there exist almost periodic orbits in T2-spaces of which the closures contain not only almost periodic points. These give answers to the three problems given by Mai and Sun in (2007). |
| format | Article |
| id | doaj-art-730fdd13fa1d42a6ae7adeb43c7abc2e |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-730fdd13fa1d42a6ae7adeb43c7abc2e2025-08-20T02:06:16ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/262475262475A Note on Almost Periodic Points and Minimal Sets in T1- and T2-SpacesJie-Hua Mai0Xin-He Liu1Institute of Mathematics, Shantou University, Shantou, Guangdong 515063, ChinaInstitute of Mathematics, Guangxi University, Nanning, Guangxi 530004, ChinaWe show that (1) there exist almost periodic orbits in T2-spaces of which the closures are not minimal sets; (2) there exist minimal sets in locally compact T1-spaces which are not compact; (3) there exist almost periodic orbits in T2-spaces of which the closures contain not only almost periodic points. These give answers to the three problems given by Mai and Sun in (2007).http://dx.doi.org/10.1155/2008/262475 |
| spellingShingle | Jie-Hua Mai Xin-He Liu A Note on Almost Periodic Points and Minimal Sets in T1- and T2-Spaces Discrete Dynamics in Nature and Society |
| title | A Note on Almost Periodic Points and Minimal Sets in T1- and T2-Spaces |
| title_full | A Note on Almost Periodic Points and Minimal Sets in T1- and T2-Spaces |
| title_fullStr | A Note on Almost Periodic Points and Minimal Sets in T1- and T2-Spaces |
| title_full_unstemmed | A Note on Almost Periodic Points and Minimal Sets in T1- and T2-Spaces |
| title_short | A Note on Almost Periodic Points and Minimal Sets in T1- and T2-Spaces |
| title_sort | note on almost periodic points and minimal sets in t1 and t2 spaces |
| url | http://dx.doi.org/10.1155/2008/262475 |
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