| Title |
theta_s-open sets and theta_s-continuity of maps in the product space |
|
Authors |
Hassan, Javier; Labendia, Mhelmar |
|
Publication date |
2021 |
|
Journal |
Journal of Mathematics and Computer Science |
| Volume |
25 |
| Issue |
2 |
| Pages |
182-190 |
| Publisher |
International Scientific Research Publications |
| Abstract |
In this study, the concept of theta_s-open set is introduced. The topology formed by theta_s-open sets is strictly finer than the topology formed by theta-open sets but is not comparable with the topology formed by omega_theta-open sets. Related concepts such as theta_s- open and theta_s-closed functions, theta_s-continuous function, theta_s-connected space, and some versions of separation axioms are defined and characterized. Finally, the concept of theta_s-continuous function from an arbitrary topological space into the product space is investigated further. |
| Index terms / Keywords |
theta_s-open, theta_s-closed, theta_s-connected, theta_s-continuous, theta_s-Hausdorff, theta_s-regular, theta_s-normal. |
| DOI |
|
| URL |
|
Mindanao State
University - Iligan Institute of Technology