Some Properties of Semi ${}^{\#}$ Generalized Open Sets in Topological Spaces
![](https://ojsdergi.com/ojsicons/gor.png)
![](https://ojsdergi.com/ojsicons/pdf.png)
Keywords:
$s^{\#}$g-open set, $s^{\#}$g-neighbourhood, $s^{\#}$g-closure, $s^{\#}$g-interior, $s^{\#}$g-derived setAbstract
In this paper a new class of generalized open sets in topological spaces, namely semi ${}^{\#}$ generalized open(briefly, $s^{\#}$g-open) sets is introduced. We prove that this class lies between the class of sg-open sets and the class of gs-open sets and we study some basic properties and characterizations of $s^{\#}$g-open sets. Also we introduce $s^{\#}$g-neighbourhood (shortly, $s^{\#}$-neighbourhood), $s^{\#}$g-interior, $s^{\#}$g-closure and $s^{\#}$g-derived set of a set in a topological spaces and investigate some basic properties of these sets.
Downloads
Published
How to Cite
Issue
Section
License
![Creative Commons License](http://i.creativecommons.org/l/by-nc/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.