Sequences in countable nonstandard models of the natural numbers |
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| Authors: | Steven C. Leth |
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| Affiliation: | (1) Department of Mathematics, University of Wisconsin, 53706 Madison, Wisconsin |
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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.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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