| Title |
theta-somewhat nearly open sets and theta-somewhat nearly continuity |
|
Authors |
Barquin, Jojade; Asdain, Aldison; Labendia, Mhelmar |
|
Publication date |
2024 |
|
Journal |
Poincare Journal of Analysis and Applications |
| Volume |
11 |
| Issue |
2 |
| Pages |
163-180 |
| Publisher |
Poincare Publishers |
| Abstract |
In this paper, a new class of open set called theta-somewhat nearly-open set is introduced and studied. We then investigate its relation to other well-known
types of open sets such as the classical open, theta-open, somewhat-open, and somewhat nearly-open sets in a topological space. Moreover, some characterizations of the notions of theta-somewhat nearly-continuous and strongly theta-somewhat nearly continuous functions from an arbitrary topological space into the product space are obtained. |
| Index terms / Keywords |
theta-somewhat nearly-open, theta-somewhat nearly-closed, theta-somewhat nearly-continuous, theta-somewhat nearly-connected, theta-somewhat nearly-Hausdorff |
| DOI |
|
| URL |
|
Mindanao State
University - Iligan Institute of Technology