• Puja Kumari
• Dr. Mukund Kumar Singh

Our aim here is to provide a characterization of separation axioms Ti (i = 0, 1, 2, 3, 4, 5) by using the concept of topology. We derive some specific properties of Lindelof spaces and include some theorems and interrelations between separability, countable basis and the Lindelof property in metric spaces. S. Willard and U. N. B. Dissanayake(2) derive topological space is quasi-Lindelof, if every closed subspace of it is weakly Lindelof. Topology plays very important role in all branches of Mathematics. An important concept introduced by J.C.Kelly(1),General Topology and Real Analysis concerns the variously modified forms of continuity and separation axioms etc. by utilizing the generalized closed sets.

(Topological space, Separation Axiom, Soft Topology Metric spaces, Lindelof spaces, open sets closed sets, Tychonoff spaces, Trennungs axiom and Paratopological groups)

"“ON TOPOLOGICAL GROUP AND ITS APPLICATIONS OF SEPARATION AXIOM”", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.11, Issue 1, page no.h397-h401, January-2024, Available :http://www.jetir.org/papers/JETIR2401743.pdf

"“ON TOPOLOGICAL GROUP AND ITS APPLICATIONS OF SEPARATION AXIOM”", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.11, Issue 1, page no. pph397-h401, January-2024, Available at : http://www.jetir.org/papers/JETIR2401743.pdf