Nonstandard Analysis in Topology: Nonstandard and Standard Compactifications

Details Nonstandard Analysis in Topology: Nonstandard and Standard Compactifications Nonstandard Analysis in Topology: Nonstandard and Standard Compactifications

2006-01-30

arxiv.org/abs/math/0601724v1

Journal of Symbolic Logic, Vol. 65, Number 4, Dec. 2000

Mathematics

General Topology

5 pages

Scientific paper

\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.

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