# Nehmat K.AhmedSalahaddin University - Erbil | SUH · College of Education

Nehmat K.Ahmed

Assistant professor in General Topology

## About

23

Publications

1,273

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42

Citations

Introduction

Abstract. Several notions on soft topology are studied and their basic properties are investigated by using the concept of soft pre open sets and soft pre closure operators which are derived from the basics of soft set theory established by Molodtsov [8 In this paper we introduce some soft separation axioms called Soft pre R0 and soft pre R1 in soft topological spaces which are defined over an initial universe with a fixed set of parameters. Many characterizations and properties of these spaces

## Publications

Publications (23)

In this present study, we shed light on some separation axioms via nano Sβ-open sets including nano Sβ-regular, Sβ-normal, Sβ −S0 and Sβ−S1 axioms in nano topological spaces where nano Sβ-open set is defined and related to nano semi-open and nano β-closed sets. Here, we implement each axiom on the family of all nano Sβ-open sets according to upper...

In this present study, we shed light on some separation axioms via nano Sβ-open sets including nano S
∗
β
-regular and
nano S
∗
β
-normal spaces (axioms) in nano topological spaces where nano Sβ-open set is defined and related to nano semi-open
and nano β-closed sets. Here, we implement each axiom on the family of all nano Sβ-open sets according to...

The aim of this study is to introduce the notions of nano-connected, nano-hyperconnected and nano-ultraconnected by using the all forms of nano-open sets in nano topological spaces. Then, we study the relationship between them and show that if a nano topological space is-connected, then is also nano connected space but not the converse. Also, we st...

The aim of this paper is to introduce the notion of nano -operators in term of the class of nano -open sets such as nano -interior and nano -closure with their properties in nano topological spaces. After that, by using the class of nano -open sets, we introduce the concept of nano -continuity. Also, we study the relationship among some types of na...

The aim of this paper is to introduce the notion of nano -operators in term of the class of nano -open sets such as nano -interior and nano -closure with their properties in nano topological spaces. After that, by using the class of nano -open sets, we introduce the concept of nano -continuity. Also, we study the relationship among some types of na...

The aim of this paper is to introduce the notion of nano -operators in term of the class of nano -open sets such as nano -interior and nano -closure with their properties in nano topological spaces. After that, by using the class of nano -open sets, we introduce the concept of nano -continuity. Also, we study the relationship among some types of na...

The objective of this paper is to define and introduce a new type of nanosemi-open set which called nano 𝑆𝐶-open set as a strong form of nano semi-open set which is related to nano closed sets in nano topological spaces. In this paper, we find all forms of the family of nano 𝑆𝐶-open sets in term of upper and lower approximations of sets and we can...

The aim of this work is to introduce a new class of nano semi-open sets in nano topological spaces which called nano Sβ-open sets in nano topological spaces. Also, we study the relationship between some types of nano near open sets with this new class. The class of nano Sβ-open sets exactly lie between nano Sp-open sets and nano semi-open sets.

Several notions on soft topology are studied and their basic properties are investigated by using the concept of soft open sets and soft closure operators which are derived from the basics of soft set theory established by Molodtsov [7]. In this paper we introduce some soft separation axioms called Soft R0 and soft R1 in soft topological spaces whi...

In this paper, we define the concept of soft -connected sets and soft -connected spaces by using the notion of soft -open sets in soft topological spaces. Several properties of these concepts are investigated.

The aim of this paper is to introduce the concept of soft compact spaces by using the notion of soft [Formula: see text]-open sets and soft [Formula: see text]-open covers, which we call soft [Formula: see text]-compact spaces. Many characterizations and properties of this space are obtained. Also, we discuss the concept of soft [Formula: see text]...

Many mathematicians defined and studied soft separation axioms and soft continuity in soft spaces by using ordinary points of a topological space X . Also, some of them studied the same concepts by using soft points. In this paper, we introduce the concepts of soft {p}_{c}-{T}_{i} and soft {p}_{c}-{T}_{i}^{\ast } , i=0,1,2 by using the concept of s...

In this paper we introduce a subclass of semi open sets called Sβ-open sets in topological spaces. This class of sets used to define and study the concept of Sβ-continuous functions. © 2013 by the Mathematical Association of Thailand. All rights reserved.

In this paper we introduce a new class of space called S β-paracompact space and study their properties and characterizations. We also establish the relationship between S β-paracompact spaces and other well-known spaces.

In this paper we introduce a new class of space called S β-paracompact space and study their properties and characterizations. We also establish the relationship between S β-paracompact spaces and other well-known spaces.

We introduce and study some subsets of a topological space \(X\) called \(S{_\beta}\)-compact subspaces, \(S{_\beta}\)-compact relative to the space and \(S{_\beta}\)-Locally compact spaces. Basic properties of these spaces were given and the relationship between \(S{_\beta}\)-compact subspaces and \(S{_\beta}\)-Locally compact spaces are investiga...

In this paper we introduce a new class of space called \(S_\beta\)-paracompact space and study their properties and characterizations. We also establish the relationship between \(S_\beta\)-paracompact spaces and other well-known spaces.

The aim of this paper is to introduce and study some properties of pre--open sets,and study a new class of spaces, called p-regular space. Determine some properties of p-regularity and compare with other types of regular spaces.