Abstract: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.
Keywords: extension, maximal extension, perfect extension, perfect pair
AMS Subject Classification: 54D35