Some Topological Properties of CbX
If X is a completely regular space, first we characterize those spaces CbX whose compact sets are metrizable. Then we use this result to provide a general condition for X to ensure the metrizability of compact sets in CbX. Finally, we characterize those spaces CbX that have a G-basis.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/195262 |
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| _version_ | 1832545523384451072 |
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| author | Juan Carlos Ferrando |
| author_facet | Juan Carlos Ferrando |
| author_sort | Juan Carlos Ferrando |
| collection | DOAJ |
| description | If X is a completely regular space, first we characterize those spaces CbX whose compact sets are metrizable. Then we use this result to provide a general condition for X to ensure the metrizability of compact sets in CbX. Finally, we characterize those spaces CbX that have a G-basis. |
| format | Article |
| id | doaj-art-98788d82a591475d8b68bc5a32859f4d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-98788d82a591475d8b68bc5a32859f4d2025-02-03T07:25:32ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/195262195262Some Topological Properties of CbXJuan Carlos Ferrando0Centro de Investigación Operativa, Universidad Miguel Hernández, 03202 Elche, SpainIf X is a completely regular space, first we characterize those spaces CbX whose compact sets are metrizable. Then we use this result to provide a general condition for X to ensure the metrizability of compact sets in CbX. Finally, we characterize those spaces CbX that have a G-basis.http://dx.doi.org/10.1155/2014/195262 |
| spellingShingle | Juan Carlos Ferrando Some Topological Properties of CbX Journal of Function Spaces |
| title | Some Topological Properties of CbX |
| title_full | Some Topological Properties of CbX |
| title_fullStr | Some Topological Properties of CbX |
| title_full_unstemmed | Some Topological Properties of CbX |
| title_short | Some Topological Properties of CbX |
| title_sort | some topological properties of cbx |
| url | http://dx.doi.org/10.1155/2014/195262 |
| work_keys_str_mv | AT juancarlosferrando sometopologicalpropertiesofcbx |