Perfectly Ω-Irresolute Functions (original) (raw)

Certain Concepts by Using ωpre-Open Sets

Journal of Southwest Jiaotong University

The aim of this paper is to add new types of continuous functions and results in the specialization field, where we merge two important terms of open sets that are pre-open and ω-open to get a new set named ωp-open set, where we introduce new functions by using this set, such as Mωpc, ωpMc, ωpMωpc, ωp-continuous, ωp*-continuous, and ωp-irresolute function. We clarify the relationship between these types and illustrate their relationship with some other types of continuous functions. Also we define some new types of spaces such as, ωp-compact, ωp-Lindelöf, and Cωp-Lindelöf. In addition, we submit important results like, the ωp*-continuous image of compact space being ωp-compact, and if X is a ωp-regular space, hence it is Cωp-Lindelöf, as well as we provide the composition between most of the new functions that we defined. Many other results have been found in this our work and they are supported by many examples.

On real valued ω-continuous functions

Acta Univ. Sapientiae, Mathematica, 10, 2 (2018) 242–248, 2018

The aim of this paper is to introduce and study upper and lower ω-continuous functions. Some characterizations and several properties concerning upper (resp. lower) ω-continuous functions are obtained.

A New Complete Irresoluteness Function

2016

In this presentation, first of all we definite a new type of function by using delta-b-open sets. Then, we obtain some characterizations and some properties of this function. Besides, we give their relationships with other types of functions between topological spaces. Key–Words: δ-b-open sets, b-open sets, δ-semi-open sets, semi open sets, completely δ-b-irresolute functions

Note on Omega-closed sets in topological spaces

2012

In this paper we introduce a new class of sets known as Ω -closed sets in topological spaces and we study some of its basic properties. It turns out that this class lies between the class of δ -open sets and the class of δg (resp. ω )-closed sets. Unique feature is, this new class of sets forms a topology and it is independent of open sets.

Almost ω-continuous functions defined by ω-open sets due to Arhangel'ski

Cubo (Temuco), 2017

In this paper, we apply the notion of ω-open sets due to Arhangel'skiȋ to present and study a new class of functions called almost ω-continuous functions. Relationships between this new class and other classes of functions are established. En este artículo, aplicamos la noción de ω-conjuntos abiertos dada por Arhangel'skiȋ [1] para presentar y estudiar una nueva clase de funciones llamadas funciones casi ωcontinuas. Establecemos relaciones entre esta nueva clase y otras clases de funciones.

Contra-ω-continuous and almost contra-ω-continuous

International Journal of Mathematics and …

The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of ω-open sets in topological space to present and study a new class of functions called almost contra ω-continuous functions as a new generalization of contra ...

ON IRRESOLUTE FUNCTIONS IN IDEAL TOPOLOGICAL SPACES

In the ideal topological spaces (X, τ, I) and (Y, J, σ), we define (I, J)-irresolute function, weakly-(I, J)-irresolute, strongly-(I, J)-irresolute functions, semi-I-open sets and quasi-H-closed spaces modulo ideal I. We discuss properties of (I, J)irresolute function mapping connected, closed, compact ideal spaces modulo I and semi-I-isolated points. (I, J)-Homeomorphisim on presemi-I-open sets and closure properties of quasi-H-closed spaces and semi-I-open subsets are explored in this paper.

On δ-perfectly continuous functions

Demonstratio Mathematica

Recently the class of δ-perfectly continuous functions between topological spaces has been introduced and studied in some detail. In this paper we consider this class of functions from the point of view of change of topology. In particular, we demonstrate that the concept of δ-perfect continuity coincides with the notion of perfect continuity when the codomain of the function under consideration has been retopologized appropriately. This paper considers some of the consequences of this fact.

On strong forms of completely irresolute functions

Chaos, Solitons & Fractals, 2008

In this paper, we introduce new classes of functions which are called completely b-irresolute functions, perfectly b-irresolute functions and perfectly irresolute functions. We obtain their characterizations, their basic properties and their relationships with other types of functions between topological spaces.