On Certain Types of Functions via Generalized Open Sets

Some points on generalized open sets

The paper is an attempt to represent a study of limit points, boundary points, exterior points, border, interior points and closure points in the common generalized topological space. This paper takes a look at the possibilities of an extended topological space and it also considers the new characterizations of dense set.

Types of Generalized Open Sets with Ideal

The aim of this paper is to introduce and study the notions of  (resp., pre, semi, )-open sets in terms of an ideal I. These concepts generalize the usual notions of  (resp., pre, semi, ) open sets. Also, several of their topological properties are investigated.

On Pre-θ-Open Sets and Two Classes of Functions

on pre-θ-open sets and two classes of functions

Some separation axioms via modified θ-open sets