The Lω-Compactness in Lω-Spaces
The concepts of αω-remote neighborhood family, γω-cover, and Lω-compactness are defined in Lω-spaces. The characterizations of Lω-compactness are systematically discussed. Some important properties of Lω-compactness such as ω-closed heredity, arbitrarily multiplicative property, and preserving invar...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/929178 |
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| author | Shui-Li Chen Jin-Lan Huang |
| author_facet | Shui-Li Chen Jin-Lan Huang |
| author_sort | Shui-Li Chen |
| collection | DOAJ |
| description | The concepts of αω-remote neighborhood family, γω-cover, and Lω-compactness are defined in Lω-spaces. The characterizations of Lω-compactness are systematically discussed. Some important properties of Lω-compactness such as ω-closed heredity, arbitrarily multiplicative property, and preserving invariance under ω-continuous mappings are obtained. Finally, the Alexander ω-subbase lemma and the Tychonoff product theorem with respect to Lω-compactness are given. |
| format | Article |
| id | doaj-art-2d72397fe6d34feaaa68877e290fd0ad |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2d72397fe6d34feaaa68877e290fd0ad2025-02-03T06:13:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/929178929178The Lω-Compactness in Lω-SpacesShui-Li Chen0Jin-Lan Huang1Department of Mathematics, School of Science, Jimei University, Xiamen, Fujian 361021, ChinaDepartment of Mathematics, School of Science, Jimei University, Xiamen, Fujian 361021, ChinaThe concepts of αω-remote neighborhood family, γω-cover, and Lω-compactness are defined in Lω-spaces. The characterizations of Lω-compactness are systematically discussed. Some important properties of Lω-compactness such as ω-closed heredity, arbitrarily multiplicative property, and preserving invariance under ω-continuous mappings are obtained. Finally, the Alexander ω-subbase lemma and the Tychonoff product theorem with respect to Lω-compactness are given.http://dx.doi.org/10.1155/2013/929178 |
| spellingShingle | Shui-Li Chen Jin-Lan Huang The Lω-Compactness in Lω-Spaces Abstract and Applied Analysis |
| title | The Lω-Compactness in Lω-Spaces |
| title_full | The Lω-Compactness in Lω-Spaces |
| title_fullStr | The Lω-Compactness in Lω-Spaces |
| title_full_unstemmed | The Lω-Compactness in Lω-Spaces |
| title_short | The Lω-Compactness in Lω-Spaces |
| title_sort | lω compactness in lω spaces |
| url | http://dx.doi.org/10.1155/2013/929178 |
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