Convergence of the Associated Filters via Set-Operators

Year 2020, Volume: 17 Issue: 2, 101 - 107, 01.11.2020

Takashi Noiri , Sk Selım , Shyamapada Modak

Abstract

                                                                                                                                                                                                                                                                                                             

Let (X, τ) be a topological space.     For a proper ideal I on (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 (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

References

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