On S*g-ï¡-Open Sets In Topological Spaces
In this paper, we introduce a new class of sets, namely , s*g-ï¡-open sets and we show that the family of all s*g-ï¡-open subsets of a topological space ) ,X( ï´ from a topology on X which is finer than ï´ . Also , we study the characterizations and basic properties of s*g-ï¡open sets and s*g-ï¡-...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Baghdad
2017-04-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/319 |
| _version_ | 1818269440500826112 |
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| author | Sabiha I. Mahmood Jumana S . Tareq |
| author_facet | Sabiha I. Mahmood Jumana S . Tareq |
| author_sort | Sabiha I. Mahmood |
| collection | DOAJ |
| description |
In this paper, we introduce a new class of sets, namely , s*g-ï¡-open sets and we show that the family of all s*g-ï¡-open subsets of a topological space ) ,X( ï´ from a topology on X which is finer than ï´ . Also , we study the characterizations and basic properties of s*g-ï¡open sets and s*g-ï¡-closed sets . Moreover, we use these sets to define and study a new class of functions, namely , s*g- ï¡ -continuous functions and s*g- ï¡ -irresolute functions in topological spaces . Some properties of these functions have been studied .
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| first_indexed | 2024-12-12T20:54:25Z |
| format | Article |
| id | doaj.art-98936f02f6e5427483a0c71ad572b0b2 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-12-12T20:54:25Z |
| publishDate | 2017-04-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-98936f02f6e5427483a0c71ad572b0b22022-12-22T00:12:19ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072017-04-01273On S*g-ï¡-Open Sets In Topological SpacesSabiha I. MahmoodJumana S . Tareq In this paper, we introduce a new class of sets, namely , s*g-ï¡-open sets and we show that the family of all s*g-ï¡-open subsets of a topological space ) ,X( ï´ from a topology on X which is finer than ï´ . Also , we study the characterizations and basic properties of s*g-ï¡open sets and s*g-ï¡-closed sets . Moreover, we use these sets to define and study a new class of functions, namely , s*g- ï¡ -continuous functions and s*g- ï¡ -irresolute functions in topological spaces . Some properties of these functions have been studied . https://jih.uobaghdad.edu.iq/index.php/j/article/view/319s*g-ï¡-open sets , s*g-ï¡-closed sets , s*g-ï¡-clopen sets , s*g-ï¡-continuous functions , s*g-ï¡-irresolute functions . |
| spellingShingle | Sabiha I. Mahmood Jumana S . Tareq On S*g-ï¡-Open Sets In Topological Spaces Ibn Al-Haitham Journal for Pure and Applied Sciences s*g-ï¡-open sets , s*g-ï¡-closed sets , s*g-ï¡-clopen sets , s*g-ï¡-continuous functions , s*g-ï¡-irresolute functions . |
| title | On S*g-ï¡-Open Sets In Topological Spaces |
| title_full | On S*g-ï¡-Open Sets In Topological Spaces |
| title_fullStr | On S*g-ï¡-Open Sets In Topological Spaces |
| title_full_unstemmed | On S*g-ï¡-Open Sets In Topological Spaces |
| title_short | On S*g-ï¡-Open Sets In Topological Spaces |
| title_sort | on s g i open sets in topological spaces |
| topic | s*g-ï¡-open sets , s*g-ï¡-closed sets , s*g-ï¡-clopen sets , s*g-ï¡-continuous functions , s*g-ï¡-irresolute functions . |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/319 |
| work_keys_str_mv | AT sabihaimahmood onsgiopensetsintopologicalspaces AT jumanastareq onsgiopensetsintopologicalspaces |