Operation on laklaklak-closed sets (original) (raw)
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2019
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.
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2009
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Separation Axioms On Topological Spaces - A Unified Version
European Journal of Pure and Applied Mathematics, 2013
In this paper a new kind of sets called generalized closed sets are introduced and studied in a topological space by using the concept of operation in a topological space. Some of their properties are investigated. Finally, some characterizations of psig\psi_gpsig-regular, psig\psi_gpsig-normal spaces are given.
(Α,Β)-Semi Open Sets and Some New Generalized Separation Axioms
Let (X, τ) be a topological space and α, β : P (X) → P (X) be operators associated to τ , we introduce the concept of (α, β)-semi open sets and new generalized forms of separations by (α,β)-semi open sets. Also, we analyze the relations with some well known separation notions.
Operation-Separation Axioms via Γ-PS-Open Sets
2018
This paper defines some new γ-PSseparation axioms called γ-PS-Ti for i = 0, 1, 2 using γ-PS-open sets. Some theoretical results and properties for these γ-PSseparation axioms are obtained. Several examples are given to illustrate some of the results. AMS Subject Classification: 54A05, 54D10