| Title |
The topology of theta_e-open sets |
|
Authors |
Asdain, Aldison; Labendia, Mhelmar |
|
Publication date |
2021 |
|
Journal |
Poincare Journal of Analysis and Applications |
| Volume |
8 |
| Issue |
2 |
| Pages |
133-143 |
| Publisher |
Poincare Publishers |
| Abstract |
This paper aims is to introduce a new class of open set defined using e-closure operator, which we call the theta_e-open set. Significantly, the family of all theta_e-open sets forms a topology on a topological space. This paper also characterizes the concepts of theta_e-connected space,
some versions of separation axioms with respect to theta_e-open sets, and theta_e-continuous
function from an arbitrary topological space into the product space. |
| Index terms / Keywords |
theta_e-open, theta_e-closed, theta_e-connected, theta_e-continuous |
| URL |
|
Mindanao State
University - Iligan Institute of Technology