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Preprint Number 1941
1941. Michael C. Laskowski and Douglas S. Ulrich Most(?) theories have Borel complete reducts E-mail: Submission date: 17 March 2021 Abstract: We prove that many seemingly simple theories have Borel complete reducts. Specifically, if a countable theory has uncountably many complete 1-types, then it has a Borel complete reduct. Similarly, if Th(M) is not small, then M^{eq} has a Borel complete reduct, and if a theory T is not ω-stable, then the elementary diagram of some countable model of T has a Borel complete reduct. Mathematics Subject Classification: 03C50 Keywords and phrases: |

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