Generalized semi-open and pre-semiopen sets via ideals

Generalized rough sets via ideals

The aim of this paper to construct a new rough set structure for a given ideal and to study many of their properties. 2010 AMS Classification: 54A05, 54H99

Higher Separation Axioms via Semi*-open sets

The purpose of this paper is to introduce new separation axioms semi*-regular, semi*-normal, s*regular, s**-normal using semi*-open sets and investigate their properties. We also study the relationships among themselves and with known axioms regular, normal, semi-regular and semi-normal. Mathematics Subject Classification 2010: 54D10, 54D15

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.

Semi-θ-Open Sets and New Classes of Maps

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