Sami Ali Hussein

Salahaddin University - Erbil | SUH · College of Basic Education

This paper's primary objective is to present and study a different class of nano sets known as nano βθ-open sets in nano topological spaces. Additionally, introduced some nano topological concepts by using nano βθ-open set.

In this paper, new concepts of maximal and minimal regular s are introduced and discussed. Some basic properties are obtained. The relation between maximal and minimal regular s and some other types of open sets such as regular open sets and -open sets are investigated.

In this paper, new concepts of maximal and minimal regular– s are introduced and discussed. Some basic properties are obtained. The relation between maximal and minimal regular– s and some other types of open sets such as regular open sets and-open sets are investigated.

In this paper, some new properties and results about Intermediate Value Property (IVP) via nonstandard concepts are given, and modifying some existing results to show the advantage role of nonstandard analysis tools for obtaining differed nonstandard distinguished results

The aim of this paper is to introduce and study a new class of topological groups called Pθ-topological group. By using some nonstandard techniques, we investigated some properties of Pθ-monads in Pθ-topological group.

The major purpose of this paper is to introduce and discuss a new type of monads, named βθ-monad, which plays an important role in our approach to β-closed spaces, β-T 2 spaces etc. We also investigate some properties and relationship between this monad with other types of monads.

The aim of this paper is to present and study a new type of monads, named P- monad, which plays an important role in our approach to p-closed spaces, pre- Urysohn spaces ...etc. Also, we investigated some new properties and relationships between this monad with other types of monads by using some concepts of nonstandard analysis.

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