SEPARATION AXIOMS, COMPACT SPACES AND FUNCTIONS IN BITOPOLOGICAL SPACES

In the year 2010, the concepts of Q* - closed sets were introduced and studied by Murugalingam and Lalitha [71, 72] in topological spaces. It was observed that every Q* - closed set is a closed set. They have also discussed the Q* - continuous and Q* - irresolute functions in topological spaces. Further K.Kannan and K. Chandrasekhara Rao [41] extended the concepts of Q* - closed sets to bitopological spaces in 2013. No separation axiom, continuous function and compact spaces have been defined so far by using the concept of Q* - closed sets in topological and bitopological spaces. So the present research focuses its attention on the definition of a new class of separation axioms, new class of functions and new type of compact spaces using the above mentioned sets in topological and bitopological spaces.