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Inverse problem for cuts

Logic and Analysis 1 (1):61-89 (2007)

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  1. Some nonstandard methods in combinatorial number theory.Steven C. Leth - 1988 - Studia Logica 47 (3):265 - 278.
    A combinatorial result about internal subsets of *N is proved using the Lebesgue Density Theorem. This result is then used to prove a standard theorem about difference sets of natural numbers which provides a partial answer to a question posed by Erdös and Graham.
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  • Sequences in countable nonstandard models of the natural numbers.Steven C. Leth - 1988 - Studia Logica 47 (3):243 - 263.
    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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