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Nonstandard analysis in topology: nonstandard and standard compactifications

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AbstractLet (X, T) be a topological space and *X a nonstandard extension of X. Sets of the form *G. where G ∈ T, form a base for the “standard” topology ST on *X. The topological space (*X, ST) will be used to study compactifications of (X, T) in a systematic way.
Title: Nonstandard analysis in topology: nonstandard and standard compactifications
Description:
AbstractLet (X, T) be a topological space and *X a nonstandard extension of X.
Sets of the form *G.
where G ∈ T, form a base for the “standard” topology ST on *X.
The topological space (*X, ST) will be used to study compactifications of (X, T) in a systematic way.

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