Sequences in countable nonstandard models of the natural numbers

Studia Logica 47 (3):243 - 263 (1988)
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Abstract

Two different equivalence relations on countable nonstandard models of the natural numbers are considered. Properties of a standard sequence A are correlated with topological properties of the equivalence classes of the transfer of A. This provides a method for translating results from analysis into theorems about sequences of natural numbers.

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Meager sets on the hyperfinite time line.H. Jerome Keisler & Steven C. Leth - 1991 - Journal of Symbolic Logic 56 (1):71-102.
Inverse problem for cuts.Renling Jin - 2007 - Logic and Analysis 1 (1):61-89.
Applications of nonstandard analysis in additive number theory.Renling Jin - 2000 - Bulletin of Symbolic Logic 6 (3):331-341.

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