### A basic approach to the perfect extensions of spaces

In this paper we generalize the notion of perfect compactification of a Tychonoff space to a generic extension of any space by introducing the concept of perfect pair. This allow us to simplify the treatment in a basic way and in a more general setting. Some [S${}_{1}$], [S${}_{2}$], and [D]’s results are improved and new characterizations for perfect (Hausdorff) extensions of spaces are obtained.