Some results on [$n, m$]-paracompact and [$n, m$]-compact spaces
Let n and m be infinite cardinals with n≤m and n be a regular cardinal. We prove certain implications of [n,m]-strongly paracompact, [n,m]-paracompact and [n,m]-metacompact spaces. Let X be [n,∞]-compact and Y be a [n,m]-paracompact (resp. [n,∞]-paracompact), Pn-space (resp. wPn-space). If m=∑k<n...
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171297000069 |
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| author | Hasan Z. Hdeib Yusuf Ünlü |
| author_facet | Hasan Z. Hdeib Yusuf Ünlü |
| author_sort | Hasan Z. Hdeib |
| collection | DOAJ |
| description | Let n and m be infinite cardinals with n≤m and n be a regular cardinal. We prove
certain implications of [n,m]-strongly paracompact, [n,m]-paracompact and [n,m]-metacompact
spaces. Let X be [n,∞]-compact and Y be a [n,m]-paracompact (resp. [n,∞]-paracompact), Pn-space
(resp. wPn-space). If m=∑k<nmk we prove that X×Y is [n,m]-paracompact (resp. [n,∞]-paracompact |
| format | Article |
| id | doaj-art-510cd5bcdebd42fc86bd2127bed1922c |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-510cd5bcdebd42fc86bd2127bed1922c2025-08-20T02:05:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-01201374210.1155/S0161171297000069Some results on [$n, m$]-paracompact and [$n, m$]-compact spacesHasan Z. Hdeib0Yusuf Ünlü1Department of Mathematics, Faculty of Science, Jordan University, Amman, JordanCukurova Univesitesi, Matematik Bolumu, Adana PK. 171, TurkeyLet n and m be infinite cardinals with n≤m and n be a regular cardinal. We prove certain implications of [n,m]-strongly paracompact, [n,m]-paracompact and [n,m]-metacompact spaces. Let X be [n,∞]-compact and Y be a [n,m]-paracompact (resp. [n,∞]-paracompact), Pn-space (resp. wPn-space). If m=∑k<nmk we prove that X×Y is [n,m]-paracompact (resp. [n,∞]-paracompacthttp://dx.doi.org/10.1155/S0161171297000069strongly paracompact and metacompact spaces. |
| spellingShingle | Hasan Z. Hdeib Yusuf Ünlü Some results on [$n, m$]-paracompact and [$n, m$]-compact spaces International Journal of Mathematics and Mathematical Sciences strongly paracompact and metacompact spaces. |
| title | Some results on [$n, m$]-paracompact and [$n, m$]-compact spaces |
| title_full | Some results on [$n, m$]-paracompact and [$n, m$]-compact spaces |
| title_fullStr | Some results on [$n, m$]-paracompact and [$n, m$]-compact spaces |
| title_full_unstemmed | Some results on [$n, m$]-paracompact and [$n, m$]-compact spaces |
| title_short | Some results on [$n, m$]-paracompact and [$n, m$]-compact spaces |
| title_sort | some results on n m paracompact and n m compact spaces |
| topic | strongly paracompact and metacompact spaces. |
| url | http://dx.doi.org/10.1155/S0161171297000069 |
| work_keys_str_mv | AT hasanzhdeib someresultsonnmparacompactandnmcompactspaces AT yusufunlu someresultsonnmparacompactandnmcompactspaces |