I-Lindelof spaces
We define a space (X,T) to be I-Lindelof if every cover 𝒜 of X by regular closedsubsetsof the space (X,T) contains a countable subfamily 𝒜′ suchthat X=∪{int(A):A∈A′}. We provide several characterizations of I-Lindelofspaces and relate them to some other previously known class...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204307131 |
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| author | Khalid Al-Zoubi Bassam Al-Nashef |
| author_facet | Khalid Al-Zoubi Bassam Al-Nashef |
| author_sort | Khalid Al-Zoubi |
| collection | DOAJ |
| description | We define a space (X,T) to be I-Lindelof if every cover 𝒜 of X by regular closedsubsetsof the space (X,T) contains a countable subfamily 𝒜′ suchthat X=∪{int(A):A∈A′}. We provide several characterizations of I-Lindelofspaces and relate them to some other previously known classes of spaces, for example, rc-Lindelof, nearly Lindelof, and so forth. Our study here of I-Lindelofspaces also deals with operations on I-Lindelof spaces and, in its last part, investigates images and inverseimagesof I-Lindelofspacesundersome consideredtypesof functions. |
| format | Article |
| id | doaj-art-33532da8f43948c1a66e6cb45c9f2e52 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-33532da8f43948c1a66e6cb45c9f2e522025-02-03T00:59:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004432299230510.1155/S0161171204307131I-Lindelof spacesKhalid Al-Zoubi0Bassam Al-Nashef1Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, JordanDepartment of Mathematics, Faculty of Science, Yarmouk University, Irbid, JordanWe define a space (X,T) to be I-Lindelof if every cover 𝒜 of X by regular closedsubsetsof the space (X,T) contains a countable subfamily 𝒜′ suchthat X=∪{int(A):A∈A′}. We provide several characterizations of I-Lindelofspaces and relate them to some other previously known classes of spaces, for example, rc-Lindelof, nearly Lindelof, and so forth. Our study here of I-Lindelofspaces also deals with operations on I-Lindelof spaces and, in its last part, investigates images and inverseimagesof I-Lindelofspacesundersome consideredtypesof functions.http://dx.doi.org/10.1155/S0161171204307131 |
| spellingShingle | Khalid Al-Zoubi Bassam Al-Nashef I-Lindelof spaces International Journal of Mathematics and Mathematical Sciences |
| title | I-Lindelof spaces |
| title_full | I-Lindelof spaces |
| title_fullStr | I-Lindelof spaces |
| title_full_unstemmed | I-Lindelof spaces |
| title_short | I-Lindelof spaces |
| title_sort | i lindelof spaces |
| url | http://dx.doi.org/10.1155/S0161171204307131 |
| work_keys_str_mv | AT khalidalzoubi ilindelofspaces AT bassamalnashef ilindelofspaces |