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Sequences in countable nonstandard models of the natural numbers

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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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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, 53706, Madison, Wisconsin

    Steven C. Leth

Authors
  1. Steven C. Leth
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Additional information

Most of the results in this paper appeared in the author's Ph.D. dissertation at the University of Colorado, 1985.

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Leth, S.C. Sequences in countable nonstandard models of the natural numbers. Stud Logica 47, 243–263 (1988). https://doi.org/10.1007/BF00370555

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  • DOI: https://doi.org/10.1007/BF00370555

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