Decomposition of continuity via $\theta$-local function in ideal topological spaces

C. Janakia,* and M. Anandhib

Decomposition of continuity via $\theta$-local function in ideal topological spaces

Authors :

C. Janaki^a,* and M. Anandhi^b

Author Address :

^a,bDepartment of Mathematics, L.R.G. Govt. Arts College for Women,Tirupur-641004, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, we introduce new classes of sets called $*{\theta} $ -pre-I-open sets, $*{\theta} $ -semi-I-open sets, $*{\theta}$-$\alpha $ -I-open sets and $*{\theta}$-$\beta $ -I-open sets in ideal topological spaces and study some of their characteristics. Also, by using these sets, we obtain new decompositions of continuity in ideal topological spaces.

Keywords :

$*{\theta} $-open set, $*{\theta} $-pre-I-open set, $*{\theta} $-semi-I-open set, $*{\theta}$ -$\alpha $ -I-open set, $*{\theta}$ - $\beta $ -I-open set, decomposition of continuity.

DOI :

Article Info :

Received : April 15, 2015; Accepted : June 13, 2015.