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Sequences in countable nonstandard models of the natural numbers
Studia Logica 47 (3):243 - 263 (1988)
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.My notes
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Citations of this work
Meager sets on the hyperfinite time line.H. Jerome Keisler & Steven C. Leth - 1991 - Journal of Symbolic Logic 56 (1):71-102.
Applications of nonstandard analysis in additive number theory.Renling Jin - 2000 - Bulletin of Symbolic Logic 6 (3):331-341.
References found in this work
The strength of nonstandard methods in arithmetic.C. Ward Henson, Matt Kaufmann & H. Jerome Keisler - 1984 - Journal of Symbolic Logic 49 (4):1039-1058.
Lectures on Non- Standard Analysis.Moshe Machover & Joram Hirschfeld - 1969 - Lecture Notes in Mathematics.
Some nonstandard methods in combinatorial number theory.Steven C. Leth - 1988 - Studia Logica 47 (3):265 - 278.
Review: Oliver Aberth, Computable Analysis. [REVIEW]C. Ward Henson - 1984 - Journal of Symbolic Logic 49 (3):988-989.
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