Recurrent and weakly recurrent points in βG
It is shown in this paper that if βG is the Stone-Čech compactification of a group G, and G satisfying a certain condition, then there is a weakly recurrent point in βG which is not almost periodic, and if another condition will be added, then there is a recurrent point in βG which is not almost per...
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117128600039X |
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| _version_ | 1832562684461056000 |
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| author | Mostafa Nassar |
| author_facet | Mostafa Nassar |
| author_sort | Mostafa Nassar |
| collection | DOAJ |
| description | It is shown in this paper that if βG is the Stone-Čech compactification of a group G, and G satisfying a certain condition, then there is a weakly recurrent point in βG which is not almost periodic, and if another condition will be added, then there is a recurrent point in βG which is not almost periodic point. |
| format | Article |
| id | doaj-art-94d116ff070f4d5080c434bb7541745d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-94d116ff070f4d5080c434bb7541745d2025-02-03T01:22:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019231932210.1155/S016117128600039XRecurrent and weakly recurrent points in βGMostafa Nassar0Department of Mathematics, Acadia University, N.S., Wolfville BOP 1X0, CanadaIt is shown in this paper that if βG is the Stone-Čech compactification of a group G, and G satisfying a certain condition, then there is a weakly recurrent point in βG which is not almost periodic, and if another condition will be added, then there is a recurrent point in βG which is not almost periodic point.http://dx.doi.org/10.1155/S016117128600039Xtopological grouprecurrent pointStone-Čech compactificationalmost periodic point. |
| spellingShingle | Mostafa Nassar Recurrent and weakly recurrent points in βG International Journal of Mathematics and Mathematical Sciences topological group recurrent point Stone-Čech compactification almost periodic point. |
| title | Recurrent and weakly recurrent points in βG |
| title_full | Recurrent and weakly recurrent points in βG |
| title_fullStr | Recurrent and weakly recurrent points in βG |
| title_full_unstemmed | Recurrent and weakly recurrent points in βG |
| title_short | Recurrent and weakly recurrent points in βG |
| title_sort | recurrent and weakly recurrent points in βg |
| topic | topological group recurrent point Stone-Čech compactification almost periodic point. |
| url | http://dx.doi.org/10.1155/S016117128600039X |
| work_keys_str_mv | AT mostafanassar recurrentandweaklyrecurrentpointsinbg |