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Ab initio generic structures which are superstable but not ω-stable

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Abstract

Let L be a countable relational language. Baldwin asked whether there is an ab initio generic L-structure which is superstable but not ω-stable. We give a positive answer to his question, and prove that there is no ab initio generic L-structure which is superstable but not ω-stable, if L is finite and the generic is saturated.

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  1. Faculty of Business Administration, Hosei University, 2-17-1 Fujimi, Chiyoda-ku, Tokyo, 102-8160, Japan

    Koichiro Ikeda

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  1. Koichiro Ikeda
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Correspondence to Koichiro Ikeda.

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Ikeda, K. Ab initio generic structures which are superstable but not ω-stable. Arch. Math. Logic 51, 203–211 (2012). https://doi.org/10.1007/s00153-011-0263-6

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  • DOI: https://doi.org/10.1007/s00153-011-0263-6

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