Javier A. Hassan - Department of Mathematics \(\&\) Statistics, College of Science \(\&\) Mathematics, Mindanao State University-Iligan Institute of Technology, Iligan City, Philippines. Mhelmar A. Labendia - Department of Mathematics \(\&\) Statistics, College of Science \(\&\) Mathematics, Mindanao State University-Iligan Institute of Technology, Iligan City, Philippines.
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.
Javier A. Hassan, Mhelmar A. Labendia, \(\theta_s\)-open sets and \(\theta_{s}\)-continuity of maps in the product space, Journal of Mathematics and Computer Science, 25 (2022), no. 2, 182--190
Hassan Javier A., Labendia Mhelmar A., \(\theta_s\)-open sets and \(\theta_{s}\)-continuity of maps in the product space. J Math Comput SCI-JM. (2022); 25(2):182--190
Hassan, Javier A., Labendia, Mhelmar A.. "\(\theta_s\)-open sets and \(\theta_{s}\)-continuity of maps in the product space." Journal of Mathematics and Computer Science, 25, no. 2 (2022): 182--190