Between Open Sets and Semi-Open Sets
We introduce and investigate ωs-open sets as a new class of sets which lies strictly between open sets and semi-open sets. Then we use ωs-open sets to introduce ωs -continuous functions as a new class of functions between continuous functions and semi-continuous functions. We give several results an...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Pontificia Universidad Javeriana
2018-01-01
|
| Series: | Universitas Scientiarum |
| Subjects: | |
| Online Access: | http://revistas.javeriana.edu.co/index.php/scientarium/article/view/19423/16359 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849324900491198464 |
|---|---|
| author | Samer Al Ghour Kafa Mansur |
| author_facet | Samer Al Ghour Kafa Mansur |
| author_sort | Samer Al Ghour |
| collection | DOAJ |
| description | We introduce and investigate ωs-open sets as a new class of sets which lies strictly between open sets and semi-open sets. Then we use ωs-open sets to introduce ωs -continuous functions as a new class of functions between continuous functions and semi-continuous functions. We give several results and examples regarding our new concepts. In particular, we obtain some characterizations of ωs-continuous functions |
| format | Article |
| id | doaj-art-e6adfb03570b40ada3ae54dbdb2ae53c |
| institution | Kabale University |
| issn | 0122-7483 2027-1352 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Pontificia Universidad Javeriana |
| record_format | Article |
| series | Universitas Scientiarum |
| spelling | doaj-art-e6adfb03570b40ada3ae54dbdb2ae53c2025-08-20T03:48:35ZengPontificia Universidad JaverianaUniversitas Scientiarum0122-74832027-13522018-01-0123192010.11144/Javeriana.SC23-1.bosaBetween Open Sets and Semi-Open SetsSamer Al Ghour0Kafa Mansur1 Jordan University of Science and Technology, Faculty of Science and Arts, Department of Mathematics and Statistics 22110, Irbid, Jordan, 3030. Jordan University of Science and Technology, Faculty of Science and Arts, Department of Mathematics and Statistics 22110, Irbid, Jordan, 3030.We introduce and investigate ωs-open sets as a new class of sets which lies strictly between open sets and semi-open sets. Then we use ωs-open sets to introduce ωs -continuous functions as a new class of functions between continuous functions and semi-continuous functions. We give several results and examples regarding our new concepts. In particular, we obtain some characterizations of ωs-continuous functionshttp://revistas.javeriana.edu.co/index.php/scientarium/article/view/19423/16359Semi-open setω-open setSemi-continuous function. |
| spellingShingle | Samer Al Ghour Kafa Mansur Between Open Sets and Semi-Open Sets Universitas Scientiarum Semi-open set ω-open set Semi-continuous function. |
| title | Between Open Sets and Semi-Open Sets |
| title_full | Between Open Sets and Semi-Open Sets |
| title_fullStr | Between Open Sets and Semi-Open Sets |
| title_full_unstemmed | Between Open Sets and Semi-Open Sets |
| title_short | Between Open Sets and Semi-Open Sets |
| title_sort | between open sets and semi open sets |
| topic | Semi-open set ω-open set Semi-continuous function. |
| url | http://revistas.javeriana.edu.co/index.php/scientarium/article/view/19423/16359 |
| work_keys_str_mv | AT sameralghour betweenopensetsandsemiopensets AT kafamansur betweenopensetsandsemiopensets |