TY - JOUR
AU - AĆ±ora, Laika Angela
AU - Paran, Clint
AU - Butanas, Lyle Leon
AU - Labendia, Mhelmar
PY - 2023/11/30
Y2 - 2024/06/14
TI - Theta^omega-Open Set and its Corresponding Topological Concepts
JF - The Mindanawan Journal of Mathematics
JA - The Mindanawan J. Math.
VL - 5
IS - 2
SE - Articles
DO -
UR - https://journals.msuiit.edu.ph/tmjm/article/view/185
SP - 75-90
AB - <p class="p1">In this paper, we introduce a different version of open set called $\theta^\omega$-open set, and then described its connection to the other well-known concepts such as the classical open, $\theta$-open, and $\omega$-open sets. It is worth noting that the family of all $\theta^\omega$-open sets forms a topology. We also define and investigate the concepts of $\theta^\omega$-interior and $\theta^\omega$-closure of a set.<span class="Apple-converted-space"> </span>The concepts of strongly $\theta^\omega$-open function, strongly $\theta^\omega$-closed function, $\theta^\omega$-open function, and $\theta^\omega$-closed function are defined and characterized. Finally, related concepts such as $\theta^\omega$-continuous function, strongly \T-continuous function, and $\theta^\omega$-connected are investigated further.</p>
ER -