Abstract. In this paper, we introduce the notion of α-γ-g.closed sets and some weak separation axioms. Also we show that some basic properties of α-γ T_1/2, α-γ-T_i, α-γ-D_i for i=0, 1, 2 spaces and we ofer a new class of functions called α-γ-irresolute, α-γ-continuous functions and a new notion of the graph of a function called a α-γ-closed graph and investigate some of their fundamental properties.

Received: November 9, 2012

AMS Subject Classification: 54A05, 54A10, 54C05

Key Words and Phrases: α-γ-open set, α-γ-g.closed set

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