On β-local Functions in Ideal topological Spaces

Pournima Powar, Takashi Noiri, Shikha Bhadauria

Abstract

In this paper, by using β-open sets in [1] we introduce and investigate the concepts
of the β-local function, Is∗g-β-closed sets and Ig-β-closed sets in an ideal topological space. In addition to the properties, an operation cl∗β is defined and the properties are obtained similarly with the local function in [8].

Keywords

$\beta$-open set,$\beta$-local function,I_{s*g}-$\beta$-closed set , operation cl^{*}_{$\beta$},I_{g}-$\beta$-closed set

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