On some unifications

Abstract

Several mathematicians have studied unifications in general topological spaces, as well as in fuzzy topological spaces. For instance in earlier works, using operations on topological spaces, the author has tried to unify some concepts related to such notions as continuity, openness, closedness of functions, compactness, filter convergence, closedness of graphs, and the Lindelöf property. For example in [16], using the paper [20], thirty five statements equivalent to almost strong $theta$-semi-continuity and forty four equivalent to weak $delta$-continuity were given. Here we will study $varphi_{1,2}$-countable compact sets.