A new form of generalized closed sets via regular local function in ideal topological spaces

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Authors :

C. Janakia, * and A. Jayalakshmib

Author Address :

aL.R.G. Govt. Arts College for Women, Tirupur, Tamil Nadu, India.
bSri Krishna College of Engineering and Technology, Coimbatore, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper we define a regular local function $A^{*^R}(I, \tau)$ by using regular open sets in an ideal topological spaces $(X ,\tau, I)$. Some properties and characterizations of a regular local functions are derived. Also, a new form of generalized closed sets via regular local function is introduced and its basic properties are discussed.

Keywords :

Regular-local function, I-gr$\alpha$ closed.

DOI :

Article Info :

Received : April 12, 2015; Accepted : May 23, 2015.