TYPE-PRESERVING FORMULAS IN WEAKLY O-MINIMAL THEORIES
Kulpeshov B.S.
2025Sobolev Institute of Mathematics
Siberian Electronic Mathematical Reports
2025#22Issue 1294 - 306 pp.
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-to-left (right) formula that is also not equivalence-generating; it was shown how it is built from the original formula.
convex-to-right (left) formula , convexity rank , equivalence relation , type-preserving formula , weak o-minimality
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Institute of Mathematics and Mathematical Modeling
Kazakh British Technical University
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