Characterizations of Continuity and Compactness with Respect to Weak Forms of w Open Sets 467 Views
In this paper we use the weak w  open sets defined by T. Noiri, A. AlOmari, M. S. M. Noorani in [5], to define new weak types of continuity and compactness and prove

Weak Separation Axioms via Open Set and Closure Operator 483 Views
In this paper we introduce a new type of weak separation axioms with some related theorems and show that they are equivalent with these in [1].

Spaces with Respect to Weak Forms of ?Open Sets, for = 0,1,2 434 Views
In this paper we introduce the associative separation axioms of the weak ?open sets defined in [5], and then give some new theorems about them

Compactness with "GemSet" 431 Views
This paper introduced a new compactness space called Gemcompact space , pointcompact space and Prefectcompact space under the idea of “GemSet” in topological spaces and study some of their properties and relations among them with basic compact

New Classes of Separation Axiom via Special Case of Local Function 401 Views
In this paper, are investigated some new weak separation axioms connected with "Gem set". Besides are both introduced and studied some of their properties and the relation between them and other weak separation axioms is highlighted .

On preparacompactness in bitopological spaces 429 Views
we introduce paracompactness in bitopological spaces in terms of ijpreopen sets . We obtain various characterizations, properties of paracompactness and its relationships with

Turing Point of proper Ideal 428 Views
In this paper we introduce and study the concepts of a new class of points, namely turing points of proper ideal and some of their properties are analyzed

Compactness and Proper Ideal 395 Views
In this paper we introduce relations between proper ideal and compactness

Study Kcspces Via wopen sets?? 395 Views
Abstract : This paper tackles , studying and introducing a new types of Kc – spaces that are called be ?? where ( i = 1 , 2 , 3 ) . As well as discussion the important results which are arriving to during this studying.

The Relationship between Kernel Set and Separation via ??Open Set 391 Views
main aim of this work to study and discuss some of separation axiom and the relation with the

Using ?Operator to Formulate a New Definition of Local Function 382 Views
In this paper, we use ?operator in order to get a new version of local function. The concepts of maps, dense, resolvable and Housdorff have been investigated in this paper, as well as modified to be useful in general

adensity in soft topological spaces 352 Views
The soft set theory regards one of an important block of the set theory it has real role in various fields of Mathematics , this is because that the soft set theory solved a several mathematical problems .Since the general topology depends on the statements of the set theory , this leads the soft topology depends on the soft set theory as well

Various resolvable space in ideal topological spaces 291 Views
In this research,we introduce new definitions of resolvable spaces of the depended on the idea:WeaklyIdense ,Idense,T*dense and dense.The definitions are: WIresolvable space, Eresolvable space, WIIresolvable space, WIT*resolvable

Decomposition of Continuity and Separation Axioms Via Lower and Upper Approximation 271 Views
In this paper we study the rough set theory by defined the concepts of rough regularity and rough normality in the topological spaces which we can consider them as results from the general relations on the approximation spaces.

Rough Probability In Topological Spaces 277 Views
In this paper we study the rough probability in the topological spaces which we can consider them as results from the general relations on the approximation spaces

adensity in soft topological spaces 253 Views
the concentration would be on building several properties with newest aspects in the soft topological space . This work required to go through some basic concepts with the needed definitions as well .

New Characterization Of Kernel Set in Topological Spaces 240 Views
In this paper we introduce a kernelled point, boundary kernelled point and derived kernelled point of a subset A of X, and using these notions to define kernel set of topological spaces. Also we introduce ????topological space .The investigation enables us to present some new separation axioms

Separation Axioms Via Kernel Set in Topological Spaces 247 Views
In this paper deals with the relation between the separation axioms Tispace , i= 0,1,…,4 and Rispace i= 0,1,2,3 throughout kernel set associated with the closed set .

Weak Forms of ?Open Sets in Bitopological Spaces and Connectedness 246 Views
The aim of this paper is to introduce a new classes of weak ?open sets in bitopological spaces then study the relations between those classes and some properties

Fuzzy ??open and Fuzzy ?closed sets 244 Views
In this paper the concept of fuzzy ??open sets and its properties are studied in fuzz

New Separation Axioms Using the idea of "GemSet" in Topological Space 249 Views
In this paper, we create a new set of topological space namely "GemSet" and immersed it with a new separation axioms in topological space and investigate the relationship between them

Separation Axioms Via Turing point of an Ideal in Topological Space 275 Views
In this paper, we use the concept of the turing point and immersed it with separation axioms a

On Semiparacompactness and zparacompactness in Bitopological Spaces 244 Views
We find some properties of semi paracompactness and zparacompactness in bitopological spaces and give the relation between these concepts

On paracompact in bitopological spaces 240 Views
We modify the concept of paracompactness for spaces concerning paracompact in bitopological spaces

adensity in soft topological spaces 528 Views
In this study, the concentration would be on building several properties with newest aspects in the soft topological space

Separation Axioms Via Kernel Set in Topological Spaces 476 Views
In this paper deals with the relation between the separation axioms Tispace , i= 0,1,…,4 and Rispace i= 0,1,2,3 throughout kernel set associated with the closed set

New Characterization Of Kernel Set in Topological Spaces 500 Views
introduce a kernelled point, boundary kernelled point and derived kernelled point of a subset A of X, and using these notions to define kernel set of topological spaces

Spaces with Respect to Weak Forms of Open Sets, for 728 Views
In this paper we introduce the associative separation axioms of the weak open sets defined in [5], and then give some new theorems about them

Characterizations of Continuity and Compactness with Respect to Weak Forms of Open Sets 703 Views
We use the weak open sets defined by T. Noiri, A. AlOmari, M. S. M. Noorani in [5], to define new weak types of continuity and compactness and prove some theorems about them

Characterizations of Continuity and Compactness with Respect to Weak Forms of Open Sets 647 Views
We use the weak open sets defined by T. Noiri, A. AlOmari, M. S. M. Noorani in [5], to define new weak types of continuity and compactness and prove some theorems about them

Weak forms of ?open sets in bitopological spaces and connectedness 649 Views
The aim of this paper is to introduce a new classes of weak ?open sets in bitopological spaces then study the relations between those classes and some properties .

Characterizations of Continuity and Compactness with Respect to Weak Forms of Open Sets 637 Views
In this paper We use the weak open sets defined by T. Noiri, A. AlOmari, M. S. M. Noorani in [5], to define new weak types of continuity and compactness and prove some theorems about them.

On Semiparac ompactness and zparacompactness in in bitopological space 605 Views
We find some properties of semi paracompactness and zparacompactness in bitopological spaces and give the relation between these concepts. Throughout the present paper m will denote infinite cardinal numbers

Using ?Operator to Formulate a New Definition of Local Function 570 Views
In this paper, we use ?operator in order to get a new version of local function. The concepts of maps, dense, resolvable and Housdorff have been investigated in this paper, as well as modified to be useful in general.

The Relationship between Kernel Set and Separation via ??Open Set 572 Views
The main aim of this work to study and discuss some of separation axiom and the relation with the with the kerinal and wopen sets

Study Kcspaces via wopen sets 595 Views
this paper tackles , studying and introducing a new types of Kcspaces

Separation Axioms Via Turing point of an Ideal in Topological Space 880 Views
Separation Axioms Via Turing point of an Ideal in Topological Space

On paracompact in bitopological spaces 1267 Views
On paracompact in bitopological spaces

On preparacompactness in bitopological spaces 1192 Views
On preparacompactness in bitopological spaces

Weak forms of ?open sets in bitopological spaces and connectedness 1386 Views
Weak forms of ?open sets in bitopological spaces and connectedness

On Semiparacompactness and zparacompactness in 1237 Views
On Semiparacompactness and zparacompactness in
