• Puja Kumari
• Dr. Mukund Kumar Singh

Our main aim is to derive modified version of Separation axioms in bitopological space. Levine(6) introduced the concept of generalized closed sets in topological spaces and initiated the notion of T1/2- spaces in unital topology which is properly placed between T0–space and T1-spaces by defining T1/2–space in which every generalized closed set is closed. We extend R0-topological spaces introduced by Pervin(3). The properties of R0¬-topological spaces and results have been obtained in various contexts. McCarty(7) also introduced the notion of R1-topological space which is independent of both T0 and T1 but strictly weaker than T2. Bitopological forms of these concepts have appeared in the definitions of pairwise R0 and pairwise R1 spaces given by Mrsevic. J.C. Kelly(1) studied quasi metrics and showed that a quasi-metric p on X ≠ ϕ gives rise in a natural way to another quasi metric p* called conjugate of p, defined by p*(x, y) = p (y, x) for all x, y ∈ X.

(Separation Axiom, Bitopological space, Hausdorff spaces, regular spaces, open set, Close set, and quasi metrics)

"“ON CHARACTERIZATION OF BITOPOLOGICAL SPACES AND IT’S PROPERTIES”", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.11, Issue 4, page no.e31-e36, April-2024, Available :http://www.jetir.org/papers/JETIR2404403.pdf

"“ON CHARACTERIZATION OF BITOPOLOGICAL SPACES AND IT’S PROPERTIES”", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.11, Issue 4, page no. ppe31-e36, April-2024, Available at : http://www.jetir.org/papers/JETIR2404403.pdf