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 Characterizations of Continuity and Compactness with Respect to Weak Forms of w -Open Sets  424 Views In this paper we use the weak w - open sets defined by T. Noiri, A. Al-Omari, 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  438 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  390 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 "Gem-Set"  389 Views This paper introduced a new compactness space called Gem-compact space , pointcompact space and Prefect-compact space under the idea of “Gem-Set” 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  361 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  378 Views we introduce paracompactness in bitopological spaces in terms of ij-preopen sets . We obtain various characterizations, properties of paracompactness and its relationships with Turing Point of proper Ideal  377 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  353 Views In this paper we introduce relations between proper ideal and compactness Study Kc-spces Via w-open sets??  328 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  341 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  336 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 a-density in soft topological spaces  304 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  253 Views In this research,we introduce new definitions of resolvable spaces of the depended on the idea:Weakly-I-dense ,I-dense,T*-dense and dense.The definitions are: WIresolvable space, E-resolvable space, WI-I-resolvable space, WI-T*-resolvable Decomposition of Continuity and Separation Axioms Via Lower and Upper Approximation  234 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  236 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 a-density in soft topological spaces  216 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  202 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  209 Views In this paper deals with the relation between the separation axioms Ti-space , 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  214 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  211 Views In this paper the concept of fuzzy ??open sets and its properties are studied in fuzz New Separation Axioms Using the idea of "Gem-Set" in Topological Space  210 Views In this paper, we create a new set of topological space namely "Gem-Set" 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  235 Views In this paper, we use the concept of the turing point and immersed it with separation axioms a On Semiparacompactness and z-paracompactness in Bitopological Spaces  210 Views We find some properties of semi paracompactness and z-paracompactness in bitopological spaces and give the relation between these concepts On paracompact in bitopological spaces  205 Views We modify the concept of paracompactness for spaces concerning paracompact in bitopological spaces a-density in soft topological spaces  485 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  430 Views In this paper deals with the relation between the separation axioms Ti-space , 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  457 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   684 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  664 Views We use the weak open sets defined by T. Noiri, A. Al-Omari, 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  605 Views We use the weak open sets defined by T. Noiri, A. Al-Omari, 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  609 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  601 Views In this paper We use the weak open sets defined by T. Noiri, A. Al-Omari, 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 z-paracompactness in in bitopological space  566 Views We find some properties of semi paracompactness and z-paracompactness 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  532 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  535 Views The main aim of this work to study and discuss some of separation axiom and the relation with the with the kerinal and w-open sets Study Kc-spaces via w-open sets  561 Views this paper tackles , studying and introducing a new types of Kc-spaces Separation Axioms Via Turing point of an Ideal in Topological Space  838 Views Separation Axioms Via Turing point of an Ideal in Topological Space On paracompact in bitopological spaces  1214 Views On paracompact in bitopological spaces On preparacompactness in bitopological spaces  1125 Views On preparacompactness in bitopological spaces Weak forms of ?-open sets in bitopological spaces and connectedness  1316 Views Weak forms of ?-open sets in bitopological spaces and connectedness On Semiparacompactness and z-paracompactness in  1183 Views On Semiparacompactness and z-paracompactness in

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