M Anbuchelvi - Academia.edu (original) (raw)
Papers by M Anbuchelvi
Malaya Journal of Matematik
The aim of this paper is to introduce new classes of mappings namely hatOmega\hat{\Omega}hatOmega-open mappings... more The aim of this paper is to introduce new classes of mappings namely hatOmega\hat{\Omega}hatOmega-open mappings, somewhat hatOmega\hat{\Omega}hatOmega open functions and hardly hatOmega\hat{\Omega}hatOmega-open mappings by utilizing hatOmega\hat{\Omega}hatOmega-closed sets. Also investigate some of their properties.
Scientiae mathematicae Japonicae, 2014
This paper presents an operator s g ~~ -closure and some of it’s properties are studied.Also two ... more This paper presents an operator s g ~~ -closure and some of it’s properties are studied.Also two new classes of mappings via s g ~~ -closed sets are introduced and their characterizations are investigated.
Aim of this paper is to obtain a new class of separation known as iˆ -compact Spaces. Their pro... more Aim of this paper is to obtain a new class of separation known as iˆ -compact Spaces. Their properties are investigated in terms of nets, filterbase and iˆ -complete accumulation point. Also I -lower (resp.upper) iˆ -continuous and iˆ -multifunctions have been introduced to study iˆ -compact spaces.
Mathematical theory and modeling, 2013
Abstract: In this paper we intend to introduce contra -closed (resp.open) functions, contra -quot... more Abstract: In this paper we intend to introduce contra -closed (resp.open) functions, contra -quotient functions and contra -irresolute functions, by utilizing -closed sets. Also we find their basic properties and some applications. and : contra -closed function, contra -quotient and -quotient functions. subject classification 2010 : 57C05
This work is based on operation in a topological space. An operation has been extended to the cla... more This work is based on operation in a topological space. An operation has been extended to the class of Ω̂-open sets. The new class of γΩ̂-open sets has been introduced and two kinds of closures such as, γΩ̂Cl and (Ω̂Cl)γ are studied. Necessary basic properties have been derived. Moreover, Ω̂-regular operation on Ω̂O(X ,τ) has been introduced in which intersection of any two γΩ̂-closed sets is γΩ̂-closed. Also three types of separation axioms are defined and few results on them have been derived.
International Journal of Computer Applications, 2012
In this paper we introduce and investigate intuitionistic N -closed sets and Intuitionistic almos... more In this paper we introduce and investigate intuitionistic N -closed sets and Intuitionistic almost regular space in a intuitionistic topological spaces.
In this paper we intend to introduce contra ω ˆ -closed (resp.open) functions, contra ω ˆ -quotie... more In this paper we intend to introduce contra ω ˆ -closed (resp.open) functions, contra ω ˆ -quotient functions and contra ω ˆ -irresolute functions, by utilizing ω ˆ -closed sets. Also we find their basic properties and some applications. Keywords and Phrases : contra ω ˆ -closed function, contra ω ˆ -quotient and ω ˆ -quotient functions.
International Journal of Engineering and Advanced Technology
Aim of this paper is to define -open sets in a topological space and obtain their basic propertie... more Aim of this paper is to define -open sets in a topological space and obtain their basic properties. Also, we define minimal -open sets in a space and study the impact of two minimal -open sets in a space with -regular operation. However, the roll of minimal -open sets in -locally finite space has been discussed.
Boletim da Sociedade Paranaense de Matemática, 2014
In this paper we introduce new spaces like ˆΩ Tδ and ωTˆΩ . It turns out that the space δωTδ coin... more In this paper we introduce new spaces like ˆΩ Tδ and ωTˆΩ . It turns out that the space δωTδ coincide with semi−T1 and in ωTˆΩ -space every closed set is ˆΩ -closed set and in semi − T12 every ˆΩ -closed set is closed in a topological space.Also we introduce some kinds of generalized continuity such as ˆΩ -continuity, ˆΩ -irresolute,weakly ˆΩ -continuity and ˆΩ -open mappings.
In this paper we introduce a new class of sets known as- closed sets in topological spaces and we... more In this paper we introduce a new class of sets known as- closed sets in topological spaces and we study some of its basic properties. It turns out that this class lies between the class of ? -open sets and the class of ?g (resp. )-closed sets. Unique feature is, this new class of sets forms a topology and it is independent of open sets. Key words and Phrases: semi open sets, ? -open sets, ? -closure, skerl, -closed sets.
Malaya Journal of Matematik, 2019
This work is based on operation in a topological space. An operation has been extended to the cla... more This work is based on operation in a topological space. An operation has been extended to the class ofΩ-open sets. The new class of γΩ-open sets has been introduced and two kinds of closures such as, γΩCl and (ΩCl) γ are studied. Necessary basic properties have been derived. Moreover,Ω-regular operation onΩO(X, τ) has been introduced in which intersection of any two γΩ-closed sets is γΩ-closed. Also three types of separation axioms are defined and few results on them have been derived.
In this paper we introduce and investigate intuitionistic N-closed sets and Intuitionistic almost... more In this paper we introduce and investigate intuitionistic N-closed sets and Intuitionistic almost regular space in a intuitionistic topological spaces.
In this paper we introduce and investigate a new separation axiom associated withΩ-closed sets an... more In this paper we introduce and investigate a new separation axiom associated withΩ-closed sets and characterize it by usingΩclosure operator,Ω-kernelΩ-derived set andΩ-shell of singletons. Also we find some of their applications.
Malaya Journal of Matematik
The aim of this paper is to introduce new classes of mappings namely hatOmega\hat{\Omega}hatOmega-open mappings... more The aim of this paper is to introduce new classes of mappings namely hatOmega\hat{\Omega}hatOmega-open mappings, somewhat hatOmega\hat{\Omega}hatOmega open functions and hardly hatOmega\hat{\Omega}hatOmega-open mappings by utilizing hatOmega\hat{\Omega}hatOmega-closed sets. Also investigate some of their properties.
Scientiae mathematicae Japonicae, 2014
This paper presents an operator s g ~~ -closure and some of it’s properties are studied.Also two ... more This paper presents an operator s g ~~ -closure and some of it’s properties are studied.Also two new classes of mappings via s g ~~ -closed sets are introduced and their characterizations are investigated.
Aim of this paper is to obtain a new class of separation known as iˆ -compact Spaces. Their pro... more Aim of this paper is to obtain a new class of separation known as iˆ -compact Spaces. Their properties are investigated in terms of nets, filterbase and iˆ -complete accumulation point. Also I -lower (resp.upper) iˆ -continuous and iˆ -multifunctions have been introduced to study iˆ -compact spaces.
Mathematical theory and modeling, 2013
Abstract: In this paper we intend to introduce contra -closed (resp.open) functions, contra -quot... more Abstract: In this paper we intend to introduce contra -closed (resp.open) functions, contra -quotient functions and contra -irresolute functions, by utilizing -closed sets. Also we find their basic properties and some applications. and : contra -closed function, contra -quotient and -quotient functions. subject classification 2010 : 57C05
This work is based on operation in a topological space. An operation has been extended to the cla... more This work is based on operation in a topological space. An operation has been extended to the class of Ω̂-open sets. The new class of γΩ̂-open sets has been introduced and two kinds of closures such as, γΩ̂Cl and (Ω̂Cl)γ are studied. Necessary basic properties have been derived. Moreover, Ω̂-regular operation on Ω̂O(X ,τ) has been introduced in which intersection of any two γΩ̂-closed sets is γΩ̂-closed. Also three types of separation axioms are defined and few results on them have been derived.
International Journal of Computer Applications, 2012
In this paper we introduce and investigate intuitionistic N -closed sets and Intuitionistic almos... more In this paper we introduce and investigate intuitionistic N -closed sets and Intuitionistic almost regular space in a intuitionistic topological spaces.
In this paper we intend to introduce contra ω ˆ -closed (resp.open) functions, contra ω ˆ -quotie... more In this paper we intend to introduce contra ω ˆ -closed (resp.open) functions, contra ω ˆ -quotient functions and contra ω ˆ -irresolute functions, by utilizing ω ˆ -closed sets. Also we find their basic properties and some applications. Keywords and Phrases : contra ω ˆ -closed function, contra ω ˆ -quotient and ω ˆ -quotient functions.
International Journal of Engineering and Advanced Technology
Aim of this paper is to define -open sets in a topological space and obtain their basic propertie... more Aim of this paper is to define -open sets in a topological space and obtain their basic properties. Also, we define minimal -open sets in a space and study the impact of two minimal -open sets in a space with -regular operation. However, the roll of minimal -open sets in -locally finite space has been discussed.
Boletim da Sociedade Paranaense de Matemática, 2014
In this paper we introduce new spaces like ˆΩ Tδ and ωTˆΩ . It turns out that the space δωTδ coin... more In this paper we introduce new spaces like ˆΩ Tδ and ωTˆΩ . It turns out that the space δωTδ coincide with semi−T1 and in ωTˆΩ -space every closed set is ˆΩ -closed set and in semi − T12 every ˆΩ -closed set is closed in a topological space.Also we introduce some kinds of generalized continuity such as ˆΩ -continuity, ˆΩ -irresolute,weakly ˆΩ -continuity and ˆΩ -open mappings.
In this paper we introduce a new class of sets known as- closed sets in topological spaces and we... more In this paper we introduce a new class of sets known as- closed sets in topological spaces and we study some of its basic properties. It turns out that this class lies between the class of ? -open sets and the class of ?g (resp. )-closed sets. Unique feature is, this new class of sets forms a topology and it is independent of open sets. Key words and Phrases: semi open sets, ? -open sets, ? -closure, skerl, -closed sets.
Malaya Journal of Matematik, 2019
This work is based on operation in a topological space. An operation has been extended to the cla... more This work is based on operation in a topological space. An operation has been extended to the class ofΩ-open sets. The new class of γΩ-open sets has been introduced and two kinds of closures such as, γΩCl and (ΩCl) γ are studied. Necessary basic properties have been derived. Moreover,Ω-regular operation onΩO(X, τ) has been introduced in which intersection of any two γΩ-closed sets is γΩ-closed. Also three types of separation axioms are defined and few results on them have been derived.
In this paper we introduce and investigate intuitionistic N-closed sets and Intuitionistic almost... more In this paper we introduce and investigate intuitionistic N-closed sets and Intuitionistic almost regular space in a intuitionistic topological spaces.
In this paper we introduce and investigate a new separation axiom associated withΩ-closed sets an... more In this paper we introduce and investigate a new separation axiom associated withΩ-closed sets and characterize it by usingΩclosure operator,Ω-kernelΩ-derived set andΩ-shell of singletons. Also we find some of their applications.