G.B. Navalagi [2] introduced a new class of set called g*s -closed sets in topological space. In ... more G.B. Navalagi [2] introduced a new class of set called g*s -closed sets in topological space. In this paper, we study the properties of g*s -closed sets.
Journal of emerging technologies and innovative research, Feb 1, 2019
The purpose of this paper is to introduce the concepts of Quasi semi*δ-open and Quasi semi*δclose... more The purpose of this paper is to introduce the concepts of Quasi semi*δ-open and Quasi semi*δclosed functions using semi*δ-open sets and investigate their basic properties. We also discuss their relationships with already existing concepts.
In this paper we introduce the notion of δ ˆ-closed sets and studied some of its basic properties... more In this paper we introduce the notion of δ ˆ-closed sets and studied some of its basic properties and characterizations. It shows this class lies between -closed sets and g-closed sets in particularly lies between -I-closed sets and g-closed sets. This new class of sets is independent of closed sets, semi closed and -closed sets. Also we discuss the relationship with some of the known closed sets.
International Journal of Mathematical Archive EISSN 2229-5046, Jun 11, 2016
I n this paper, we introduce a new class of sets called regular*-open sets, this class of sets li... more I n this paper, we introduce a new class of sets called regular*-open sets, this class of sets lies between the classes of regular open and open sets. We also study its fundamental properties and compare it with some other types of sets and we investigate further topological properties of sets.
The independent dominating set is an interesting property used in the allocation of finite resour... more The independent dominating set is an interesting property used in the allocation of finite resources in a massively parallel network such as the extended star graph with cross-connections ($ESC$). In this paper, we have initially designed algorithms to compute the independent dominating set of $ESC (n, k)$ for $ n = 2$ and $n = 3$. Using the hierarchical nature of the $ESC$ with its basic building block $ESC (n, 1)$ we have designed a generalized algorithm to compute the independent dominating set of $ESC (n, k$) for all $n$ and $k$.
In this paper, we rst introduce a new class of closed map calledclosed map. Moreover, we introduc... more In this paper, we rst introduce a new class of closed map calledclosed map. Moreover, we introduce a new class of homeomorphism called a-homeomorphism.We also introduce another new class of closed map called *-closed map and introduce a new class of homeomorphism called a *-homeomorphism and prove that the set of all *-homeomorphisms forms a group under the operation of composition of maps. 2000 Math. subject classication : 54A05, 54C08 keywords and phrases :-closed map,-open map,-homeomorphism,*closed map,*-homeomorphism.
sn this pperD we introdue new lss of ontinuous funtions s n pplition of £Egenerlized losed sets @... more sn this pperD we introdue new lss of ontinuous funtions s n pplition of £Egenerlized losed sets @nmely £ g Elosed setD £EgElosed set nd g£Elosed setA nmely £Egenerlized ontinuous funtions @nmely £ g EontinuousD £EgEontinuous nd g£EontinuousA nd study their properties in topologil speF
In this paper, we introduce a new class of continuous functions as an application of $\Lambda$-ge... more In this paper, we introduce a new class of continuous functions as an application of $\Lambda$-generalized closed sets (namely $\Lambda_g$-closed set, $\Lambda$-g-closed set and $g \Lambda$-closed set) namely $\Lambda$-generalized continuous functions (namely $\Lambda g$-continuous, $\Lambda$-g-continuous and $g \Lambda$-continuous) and study their properties in topological space.
The Khalimsky topology plays a significant role in the digital image processing. In this paper we... more The Khalimsky topology plays a significant role in the digital image processing. In this paper we define a topology $\kappa_1$ on the set of integers generated by the triplets of the form $\{2n, 2n+1, 2n+3\}$. We show that in this space $(\mathbb{Z}, \kappa_1)$, every point has a smallest neighborhood and hence this is an Alexandroff space. This topology is homeomorphic to Khalimskt topology. We prove, among others, that this space is connected and $T_{3/4}$. Moreover, we introduce the concept of $^*g\hat{\alpha}$-closed sets in a topological space and characterize it using $^*g\alpha o$-kernel and closure. We investigate the properties of $^*g\hat{\alpha}$-closed sets in digital plane. The family of all $^*g\hat{\alpha}$-open sets of $(\mathbb{Z}^2, \kappa^2)$, forms an alternative topology of $\mathbb{Z}^2$. We prove that this plane $(\mathbb{Z}^2, ^*g\hat{\alpha}O)$ is $T_{1/2}$. It is well known that the digital plane $(\mathbb{Z}^2, \kappa^2)$ is not $T_{1/2}$, even if $(\mathb...
In this paper, we introduce kT½ -spaces, k*T½ -spaces, kT_b -spaces, kT_c -spaces, kT_d -spaces, ... more In this paper, we introduce kT½ -spaces, k*T½ -spaces, kT_b -spaces, kT_c -spaces, kT_d -spaces, kT_f -spaces, kT_^g* -spaces and T^k_b-spaces and investigate their characterizations.
International Journal of Computer Applications, 2014
The aim of this paper is to introduce various functions associated with semi*?-open sets. Here se... more The aim of this paper is to introduce various functions associated with semi*?-open sets. Here semi*?-continuous, semi*?-irresolute, contra-semi*?-continuous and contra-semi*?-irresolute functions are defined. Characterizations for these functions are given. Further their fundamental properties are investigated. Many other functions associated with semi*?-open sets and their contra versions are introduced and their properties are studied. In addition strongly semi*?-irresolute functions, contra-strongly semi*?-irresolute functions, semi*?-totally continuous, totally semi*?-continuous functions and semi*?-homeomorphisms are introduced and their properties are investigated.
In this paper, we introduce new concepts, namely semi*α-connectedness and semi*α- compactness usi... more In this paper, we introduce new concepts, namely semi*α-connectedness and semi*α- compactness using semi*α-open sets. We investigate their basic properties. We also discuss their relationships with already existing concepts of connectedness and compactness. Mathematics Subject Classification: 54D05, 54D30.
Mathematical Statistician and Engineering Applications
We introduce and examine several applications of neutrosophic beta omega closed sets namely , , ... more We introduce and examine several applications of neutrosophic beta omega closed sets namely , , , , in this study. We also introduce the concept of neutrosophic betaomega continuous mapping in neutrosophic topology. Furthermore, we study the relation between the neutrosophic betaomega continuous mapping with the already existing neutrosophic continuous mapping. In addition, we discuss the properties of neutrosophic betaomega continuous mapping.
G.B. Navalagi [2] introduced a new class of set called g*s -closed sets in topological space. In ... more G.B. Navalagi [2] introduced a new class of set called g*s -closed sets in topological space. In this paper, we study the properties of g*s -closed sets.
Journal of emerging technologies and innovative research, Feb 1, 2019
The purpose of this paper is to introduce the concepts of Quasi semi*δ-open and Quasi semi*δclose... more The purpose of this paper is to introduce the concepts of Quasi semi*δ-open and Quasi semi*δclosed functions using semi*δ-open sets and investigate their basic properties. We also discuss their relationships with already existing concepts.
In this paper we introduce the notion of δ ˆ-closed sets and studied some of its basic properties... more In this paper we introduce the notion of δ ˆ-closed sets and studied some of its basic properties and characterizations. It shows this class lies between -closed sets and g-closed sets in particularly lies between -I-closed sets and g-closed sets. This new class of sets is independent of closed sets, semi closed and -closed sets. Also we discuss the relationship with some of the known closed sets.
International Journal of Mathematical Archive EISSN 2229-5046, Jun 11, 2016
I n this paper, we introduce a new class of sets called regular*-open sets, this class of sets li... more I n this paper, we introduce a new class of sets called regular*-open sets, this class of sets lies between the classes of regular open and open sets. We also study its fundamental properties and compare it with some other types of sets and we investigate further topological properties of sets.
The independent dominating set is an interesting property used in the allocation of finite resour... more The independent dominating set is an interesting property used in the allocation of finite resources in a massively parallel network such as the extended star graph with cross-connections ($ESC$). In this paper, we have initially designed algorithms to compute the independent dominating set of $ESC (n, k)$ for $ n = 2$ and $n = 3$. Using the hierarchical nature of the $ESC$ with its basic building block $ESC (n, 1)$ we have designed a generalized algorithm to compute the independent dominating set of $ESC (n, k$) for all $n$ and $k$.
In this paper, we rst introduce a new class of closed map calledclosed map. Moreover, we introduc... more In this paper, we rst introduce a new class of closed map calledclosed map. Moreover, we introduce a new class of homeomorphism called a-homeomorphism.We also introduce another new class of closed map called *-closed map and introduce a new class of homeomorphism called a *-homeomorphism and prove that the set of all *-homeomorphisms forms a group under the operation of composition of maps. 2000 Math. subject classication : 54A05, 54C08 keywords and phrases :-closed map,-open map,-homeomorphism,*closed map,*-homeomorphism.
sn this pperD we introdue new lss of ontinuous funtions s n pplition of £Egenerlized losed sets @... more sn this pperD we introdue new lss of ontinuous funtions s n pplition of £Egenerlized losed sets @nmely £ g Elosed setD £EgElosed set nd g£Elosed setA nmely £Egenerlized ontinuous funtions @nmely £ g EontinuousD £EgEontinuous nd g£EontinuousA nd study their properties in topologil speF
In this paper, we introduce a new class of continuous functions as an application of $\Lambda$-ge... more In this paper, we introduce a new class of continuous functions as an application of $\Lambda$-generalized closed sets (namely $\Lambda_g$-closed set, $\Lambda$-g-closed set and $g \Lambda$-closed set) namely $\Lambda$-generalized continuous functions (namely $\Lambda g$-continuous, $\Lambda$-g-continuous and $g \Lambda$-continuous) and study their properties in topological space.
The Khalimsky topology plays a significant role in the digital image processing. In this paper we... more The Khalimsky topology plays a significant role in the digital image processing. In this paper we define a topology $\kappa_1$ on the set of integers generated by the triplets of the form $\{2n, 2n+1, 2n+3\}$. We show that in this space $(\mathbb{Z}, \kappa_1)$, every point has a smallest neighborhood and hence this is an Alexandroff space. This topology is homeomorphic to Khalimskt topology. We prove, among others, that this space is connected and $T_{3/4}$. Moreover, we introduce the concept of $^*g\hat{\alpha}$-closed sets in a topological space and characterize it using $^*g\alpha o$-kernel and closure. We investigate the properties of $^*g\hat{\alpha}$-closed sets in digital plane. The family of all $^*g\hat{\alpha}$-open sets of $(\mathbb{Z}^2, \kappa^2)$, forms an alternative topology of $\mathbb{Z}^2$. We prove that this plane $(\mathbb{Z}^2, ^*g\hat{\alpha}O)$ is $T_{1/2}$. It is well known that the digital plane $(\mathbb{Z}^2, \kappa^2)$ is not $T_{1/2}$, even if $(\mathb...
In this paper, we introduce kT½ -spaces, k*T½ -spaces, kT_b -spaces, kT_c -spaces, kT_d -spaces, ... more In this paper, we introduce kT½ -spaces, k*T½ -spaces, kT_b -spaces, kT_c -spaces, kT_d -spaces, kT_f -spaces, kT_^g* -spaces and T^k_b-spaces and investigate their characterizations.
International Journal of Computer Applications, 2014
The aim of this paper is to introduce various functions associated with semi*?-open sets. Here se... more The aim of this paper is to introduce various functions associated with semi*?-open sets. Here semi*?-continuous, semi*?-irresolute, contra-semi*?-continuous and contra-semi*?-irresolute functions are defined. Characterizations for these functions are given. Further their fundamental properties are investigated. Many other functions associated with semi*?-open sets and their contra versions are introduced and their properties are studied. In addition strongly semi*?-irresolute functions, contra-strongly semi*?-irresolute functions, semi*?-totally continuous, totally semi*?-continuous functions and semi*?-homeomorphisms are introduced and their properties are investigated.
In this paper, we introduce new concepts, namely semi*α-connectedness and semi*α- compactness usi... more In this paper, we introduce new concepts, namely semi*α-connectedness and semi*α- compactness using semi*α-open sets. We investigate their basic properties. We also discuss their relationships with already existing concepts of connectedness and compactness. Mathematics Subject Classification: 54D05, 54D30.
Mathematical Statistician and Engineering Applications
We introduce and examine several applications of neutrosophic beta omega closed sets namely , , ... more We introduce and examine several applications of neutrosophic beta omega closed sets namely , , , , in this study. We also introduce the concept of neutrosophic betaomega continuous mapping in neutrosophic topology. Furthermore, we study the relation between the neutrosophic betaomega continuous mapping with the already existing neutrosophic continuous mapping. In addition, we discuss the properties of neutrosophic betaomega continuous mapping.
Uploads
Papers by pious missier