a-local function and its properties in ideal topological spaces
2014
scientific article
english
- ideal topological space
- a-local function
- a-open set
EN In this paper, we introduce the notation of a-local function and study its properties in ideal topological space. We construct a topology τa* for X by using a-open set and an Ʈ on X. We defined a-compatible of τ with ideal and show that τ is a-compatible with Ʈ then τa* = β(Ʈ, τ), where β(Ʈ, τ) = {V-I : V ∈ τa (x), I ∈ Ʈ} is a basis of τa* Also, The relationships other local functions such as local function [12, 6] and semi-local function [7] are introduced.
5 - 15
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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