Published in Journal of Symbolic Logic, Volume 65, Issue 4, January 1, 2000.
Let (X, T) be a topological space, and ∗X a non–standard extension of X. There is a natural “standard” topology ST on ∗X generated by ∗G,where G ∈ T . The topological space (∗X,ST) will be used to study, in a systematic way, compactifications of (X, T).
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