γ-PS-generalized closed sets and γ-PS-T 1/2 spaces
This paper defines new class of sets called γ-PS-generalized closed using γ-PS-open set and τγ-PS-closure of a set in a topological space.By using this new set, we introduce a new space called γ-PS-T 1/2 and define three functions namely γ-PS-g-continuous, γ-PS-g-closed and γ-PS-g-open.Some theoret...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academic Publications, Ltd.
2014
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| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/17793/1/IJPAM%20%2093%20%202%20243-260.pdf |
| _version_ | 1825803932318826496 |
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| author | Asaad, Baravan A. Ahmad, Nazihah Omar, Zurni |
| author_facet | Asaad, Baravan A. Ahmad, Nazihah Omar, Zurni |
| author_sort | Asaad, Baravan A. |
| collection | UUM |
| description | This paper defines new class of sets called γ-PS-generalized closed using γ-PS-open set and τγ-PS-closure of a set in a topological space.By using
this new set, we introduce a new space called γ-PS-T 1/2 and define three functions namely γ-PS-g-continuous, γ-PS-g-closed and γ-PS-g-open.Some theoretical results and properties for this space and these functions are obtained. Several examples are given to illustrate some of the results. |
| first_indexed | 2024-07-04T06:06:02Z |
| format | Article |
| id | uum-17793 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:06:02Z |
| publishDate | 2014 |
| publisher | Academic Publications, Ltd. |
| record_format | eprints |
| spelling | uum-177932016-04-14T01:01:14Z https://repo.uum.edu.my/id/eprint/17793/ γ-PS-generalized closed sets and γ-PS-T 1/2 spaces Asaad, Baravan A. Ahmad, Nazihah Omar, Zurni QA Mathematics This paper defines new class of sets called γ-PS-generalized closed using γ-PS-open set and τγ-PS-closure of a set in a topological space.By using this new set, we introduce a new space called γ-PS-T 1/2 and define three functions namely γ-PS-g-continuous, γ-PS-g-closed and γ-PS-g-open.Some theoretical results and properties for this space and these functions are obtained. Several examples are given to illustrate some of the results. Academic Publications, Ltd. 2014 Article PeerReviewed application/pdf en cc4_by https://repo.uum.edu.my/id/eprint/17793/1/IJPAM%20%2093%20%202%20243-260.pdf Asaad, Baravan A. and Ahmad, Nazihah and Omar, Zurni (2014) γ-PS-generalized closed sets and γ-PS-T 1/2 spaces. International Journal of Pure and Apllied Mathematics, 93 (2). pp. 240-260. ISSN 1311-8080 http://doi.org/10.12732/ijpam.v93i2.9 doi:10.12732/ijpam.v93i2.9 doi:10.12732/ijpam.v93i2.9 |
| spellingShingle | QA Mathematics Asaad, Baravan A. Ahmad, Nazihah Omar, Zurni γ-PS-generalized closed sets and γ-PS-T 1/2 spaces |
| title | γ-PS-generalized closed sets and γ-PS-T 1/2 spaces |
| title_full | γ-PS-generalized closed sets and γ-PS-T 1/2 spaces |
| title_fullStr | γ-PS-generalized closed sets and γ-PS-T 1/2 spaces |
| title_full_unstemmed | γ-PS-generalized closed sets and γ-PS-T 1/2 spaces |
| title_short | γ-PS-generalized closed sets and γ-PS-T 1/2 spaces |
| title_sort | γ ps generalized closed sets and γ ps t 1 2 spaces |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/17793/1/IJPAM%20%2093%20%202%20243-260.pdf |
| work_keys_str_mv | AT asaadbaravana gpsgeneralizedclosedsetsandgpst12spaces AT ahmadnazihah gpsgeneralizedclosedsetsandgpst12spaces AT omarzurni gpsgeneralizedclosedsetsandgpst12spaces |