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Several mathematicians, including myself, have studied some unifications ingeneral topological spaces as well as in fuzzy topological spaces. For instancein our earlier works, using operations on topological spaces, we have tried tounify some concepts similar to continuity, openness, closedness of functions,compactness, filter convergence, closedness of graphs, countable compactnessand Lindelof property. In this article, to obtain further unifications, we willstudy $\phi_{1,2}$-compactness and relations between $\phi_{1,2}$-compactness,filters and $\phi_{1,2}$% -closure operator.

A Unified Theory on Some Basic Topological Concepts