Abstract
For nonstandard polynomials the monadic concept of microcontinuity is supplemented with a typically polynomial absolute microcontinuity. It is examined how these notions are interrelated, and related to the coefficients and to the standard notion of convergent power series. It is found that (absolute) microcontinuity is a genuine nonstandard concept, either nonexistent or trivial for standard data.
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Impens, C. Local microcontinuity of nonstandard polynomials. Israel J. Math. 59, 81–97 (1987). https://doi.org/10.1007/BF02779668
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DOI: https://doi.org/10.1007/BF02779668