Nonstandard analysis in topology: nonstandard and standard compactifications

Let (X, T ) be a topological space, and X a non–standard ex­ tension of X . There is a natural “standard” topology S T on X generated by ( ) G, where G ∈ T . The topological space X, T will be used to study, in a systematic way, compactifications of (X, T ) . Mathematics Subject Classification: 031105, 54J05, 54D35, 54D60.