Convergence of the Associated Filters via Set-Operators

Authors : Takashi NOİRİ, Sk SELIM, Shyamapada MODAK

Pages : 101-107

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Publication Date : 2020-11-01

Article Type : Research Paper

Abstract :                                                                                                                                                                                                                                                                                                              Let insert ignore into journalissuearticles values(X, τ); be a topological space.     For a proper ideal I on insert ignore into journalissuearticles values(X, τ);, the associated filter FI is defined and investigated in [1].    In this paper, we define several set-operators on an ideal topological space insert ignore into journalissuearticles values(X, τ, I); and investigate the relationship between the set-operators and limit points of the associated filter FI.
Keywords : ideal, Filter, Associated filter, Limit Point of a Filter, Local Function