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Article · Sibirskie Elektronnye Matematicheskie Izvestiya · May 20, 2019

On expansions of models of weakly o-minimal theories by binary predicates

S. S. Baĭzhanov, B. Sh. Kulpeshov

Abstract

Here questions of preservation of properties at expanding countably categorical weakly o-minimal structures non-being 1-indiscernible by an arbitrary binary predicate are studied.A criterion for preserving the countable categoricity of a weakly o-minimal expansion of convexity rank 1 is obtained.

Advanced Topology and Set TheoryRings, Modules, and AlgebrasLimits and Structures in Graph Theorymodel extensionbinary predicatesproperty preservation

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