Asian Journal of Mathematics and Computer Research

αθ − OPEN SETS AND αθ − LOCAL FUNCTION AND THEIR PROPERTIES IN IDEAL TOPOLOGICAL SPACES

E. HATIR *

N.E. University, A.K. Education Faculty, Meram-Konya, Turkey.

*Author to whom correspondence should be addressed.

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Abstract

In this paper, we introduce the notions of αθ − open set and αθ − local functions and study their properties in ideal topological space. Using these notions, we construct two topologies Ƭ^αθ and Ƭ*^αθ for Ƭ and I on X.

Keywords: Ideal topological space, αθ − local function, αθ − open set

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