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arXiv:math/0601724 [math.GN]AbstractReferencesReviewsResources

Nonstandard Analysis in Topology: Nonstandard and Standard Compactifications

Sergio Salbany, Todor Todorov

Published 2006-01-30Version 1

\begin{abstrac} Let $(X,T) $ be a topological space, and $^{*}X$ a non--standard extension of $X$. There is a natural ``standard'' topology $^{S}T$ on $^{*}X$ generated by $^{*}G$, where $G\in T$. The topological space $(^{*}X,^{S}T) $ will be used to study compactifications of $(X,T)$ in a systematic way.

Comments: 5 pages
Journal: Journal of Symbolic Logic, Vol. 65, Number 4, Dec. 2000
Categories: math.GN, math.LO
Subjects: 03C90, 03H05, 54J05, 54D35, 54D60
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