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Article · Sibirskie Elektronnye Matematicheskie Izvestiya · August 30, 2025

Type-preserving formulas in weakly o-minimal theories

Beibut Kulpeshov
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Abstract

In the present paper we study properties of p-preserving convex-to-right (left) formulas in weakly o-minimal theories, where p is a non-algebraic 1-type.It is proved that in the case of an existence of a p-preserving convex-to-right (left) formula that is not equivalence-generating, there exists a p-preserving convex-toleft (right) formula that is also not equivalence-generating; it was shown how it is built from the original formula.

Advanced Topology and Set TheoryRings, Modules, and AlgebrasMathematical and Theoretical Analysismodel theory of ordered structures

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