Nonstandard Analysis in Topology: Nonstandard and Standard Compactifications

S. Salbany, University of Zimbabwe
Todor D. Todorov, California Polytechnic State University - San Luis Obispo

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12 pages.

Copyright © 2000 Association for Symbolic Logic.

Abstract

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).