• Dr.Vijay Kumar

Finding the weakest conditions that retain some topologically inspired traits is always convenient. In order to do this, we introduce the idea of an infra soft topology, which is a group of subsets that extends the notion of soft topology by doing away with the presumption that the group is closed under arbitrary unions. Our research focuses on the fundamental ideas of infra soft topological spaces, including infra soft open and closed sets, infra soft interior and closure operators, and infra soft limit and boundary points of a soft set. With the aid of some clarifying examples, we demonstrate the key characteristics of these ideas. We next go over a few techniques for creating infra soft topologies, including infra soft neighbourhood systems, infra soft topology's fundamentals, and infra soft relative topology. We also look into how to start a crisp infrared topology into an infrared soft topology. Finally, we examine the idea of continuity between infra soft topological spaces and establish the circumstances under which the continuity between an infra soft topological space and its parametric infra topological spaces is preserved.

Topological Spaces, Infra Soft, Soft Structure, soft set theory.

"Infra Soft Topological Spaces: explanation of New Soft Structure", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.3, Issue 3, page no.729-733, March-2016, Available :http://www.jetir.org/papers/JETIR1701953.pdf

"Infra Soft Topological Spaces: explanation of New Soft Structure", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.3, Issue 3, page no. pp729-733, March-2016, Available at : http://www.jetir.org/papers/JETIR1701953.pdf