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Article · Lobachevskii Journal of Mathematics · March 1, 2024
Non-Essential Expansions of Quite o-Minimal Theories
B. Sh. Kulpeshov, Sergey Vladimirovich Sudoplatov
Abstract
Abstract We study constant expansions of quite o-minimal theories. We prove that any non-essential expansion (expansion by finitely many new constants) of a quite o-minimal Ehrenfeucht theory of finite convexity rank preserves Ehrenfeuchtness. We also establish that the countable spectrum of such an expanded theory is not decreased.
Advanced Topology and Set TheoryRings, Modules, and AlgebrasLimits and Structures in Graph Theorycountable spectrumo-minimal theoriesmodel theory of ordered structures
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