P. Powar - Department of Mathematics and Computer Science, R.D. University, Jabalpur, India.
Baravan Asaad - Department of Computer Science, College of Science, Cihan University-Duhok, Iraq.
J. K. Maitra - Department of Mathematics and Computer Science, R.D. University, Jabalpur, India.
Ramratan Kushwaha - Department of Mathematics and Computer Science, R.D. University, Jabalpur, India.

In this paper, the concept of \delta-cluster point on a set which belongs to the collection of fine open sets generated by the topology \tau on X has been introduced. Using this definition, the idea of f_\delta-open sets is initiated and certain properties of these sets have  also been studied. On the basis of separation axioms defined over fine topological space, certain types of f_\delta-separation axioms on fine space have also been  defined, along with some illustrative examples.

Fine open sets, f_{\delta}-open sets, f_{\delta}-closed sets, f_{\delta}-g-closed set, f_{\delta}-separation axioms