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math.GN2011★ 2 cited
Nonstandard Analysis in Topology
Sergio Salbany, Todor Todorov
We present Nonstandard Analysis by three axioms: the {\em Extension, Transfer and Saturation Principles} in the framework of the superstructure of a given infinite set. We also pre…
math.GN2006
Nonstandard Analysis in Topology: Nonstandard and Standard Compactifications
Sergio Salbany, Todor Todorov
\begin{abstrac} Let be a topological space, and a non--standard extension of . There is a natural ``standard'' topology on generated by ,…