Mappings and decompositions of continuity on almost Lindelöf spaces
A topological space X is said to be almost Lindelöf if for every open cover {Uα:α∈Δ} of X there exists a countable subset {αn:n∈ℕ}⊆Δ such that X=∪n∈ℕCl(Uαn). In this paper we study the effect of mappings and some decompositions of continuity on almost Lindelöf spaces. The main result is that a image...
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Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/98760 |
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doaj-3cfded3fb46e48f5a0bc47b5078a346d2020-11-24T21:42:54ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/9876098760Mappings and decompositions of continuity on almost Lindelöf spacesA. J. Fawakhreh0A. Kiliçman1Department of Mathematics, Philadelphia University, P.O. Box 1, Amman 19392, JordanDepartment of Mathematics, University Putra Malaysia, Selangor, Serdang 43400, MalaysiaA topological space X is said to be almost Lindelöf if for every open cover {Uα:α∈Δ} of X there exists a countable subset {αn:n∈ℕ}⊆Δ such that X=∪n∈ℕCl(Uαn). In this paper we study the effect of mappings and some decompositions of continuity on almost Lindelöf spaces. The main result is that a image of an almost Lindelöf space is almost Lindelöf.http://dx.doi.org/10.1155/IJMMS/2006/98760 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
A. J. Fawakhreh A. Kiliçman |
| spellingShingle |
A. J. Fawakhreh A. Kiliçman Mappings and decompositions of continuity on almost Lindelöf spaces International Journal of Mathematics and Mathematical Sciences |
| author_facet |
A. J. Fawakhreh A. Kiliçman |
| author_sort |
A. J. Fawakhreh |
| title |
Mappings and decompositions of continuity on almost Lindelöf spaces |
| title_short |
Mappings and decompositions of continuity on almost Lindelöf spaces |
| title_full |
Mappings and decompositions of continuity on almost Lindelöf spaces |
| title_fullStr |
Mappings and decompositions of continuity on almost Lindelöf spaces |
| title_full_unstemmed |
Mappings and decompositions of continuity on almost Lindelöf spaces |
| title_sort |
mappings and decompositions of continuity on almost lindelöf spaces |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2006-01-01 |
| description |
A topological space X is said to be almost Lindelöf if for every open cover {Uα:α∈Δ} of X there exists a countable subset {αn:n∈ℕ}⊆Δ such that X=∪n∈ℕCl(Uαn). In this paper we study the effect of mappings and some decompositions of continuity on almost Lindelöf spaces. The main result is that a image of an almost Lindelöf space is almost Lindelöf. |
| url |
http://dx.doi.org/10.1155/IJMMS/2006/98760 |
| work_keys_str_mv |
AT ajfawakhreh mappingsanddecompositionsofcontinuityonalmostlindelofspaces AT akilicman mappingsanddecompositionsofcontinuityonalmostlindelofspaces |
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1725916527750807552 |