Search

In this paper we develop the concept of local function via - ω open. We also study the densities and their properties with respect to - ω open in the ideal topological spaces. We also defined - Iω hyper , - Iω resolvable and - ω condense by expanding the definition of ideal topological space and associating it with set - ω open. [ABSTRACT FROM AUTHOR]

Soft sets play a prominent role in solving many engineering and scientific problems. After a thorough study of it and to the fuzzy sets, there were real scientific and engineering problems that these sets could not give a typical solution to them, so the idea of expanding these sets came up and we call them the dual soft sets. Also we defined the dual soft points differently to those sets. [ABSTRACT FROM AUTHOR]

In this paper, we introduced new types of weak continuity by weakly open sets we have named perfectly ω – continuous, contra – ω – continuous and approximately ω – continuous. As well as we created the relationship between them and also provided some theorems about these types of weak continuous. [ABSTRACT FROM AUTHOR]

In this paper, we summed a new type of graph called graph strongly Qpre-closed based on the functions resulting from cross-protected that use the sets. We did not show new types of relations, theorems, and illustrative examples about this new concept, which is considered one of the practical applications in the topological space and which is of great importance in our daily life. [ABSTRACT FROM AUTHOR]

The research is based on two basic principles: soft local function and soft Ψ-operation to construct the new concepts of density called Ds-dense and Dc-dense. Through these concepts, we defined a new type of separation axiom, which we called soft ST1-space. [ABSTRACT FROM AUTHOR]

This paper aims to define new and consequential types of the closed graph in topology using Hpre-closed, we called them Hpre-closed graph, and generalizing and deepening them by comparing them with the separation of the chapter and finding types of relationships among them, and the inverse examples that illustrate the difference between them are mentioned. [ABSTRACT FROM AUTHOR]