Journal
Title | The topology of theta_e-open sets Posted by Mhelmar Labendia |
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 | http://www.pjaa.poincarepublishers.com/pjaa/wp-content/uploads/2022/02/FP-PJAA-2021-82-2.pdf |