Orthogonality of 1-Types over Sets, Neighborhoods of Sets in 1-Types in Weakly Ordered Minimal Theories
Baizhanov B. Tazabekova N. Zambarnaya T.
October 2025Multidisciplinary Digital Publishing Institute (MDPI)
Mathematics
2025#13Issue 20
This paper examines the relationship between weak orthogonality and almost orthogonality for complete non-algebraic 1-types in weakly ordered minimal theories. A central element of our approach is the concept of neighborhoods, which encapsulate local properties of type realizations. This work contributes to a deeper understanding of the geometry of types in weakly ordered minimal theories and provides tools that may be applied in related model-theoretic contexts.
almost orthogonality , convex set , irrational type , quasirational type , quasisolitary type , weak orthogonality , weakly o-minimal theories
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Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
School of Applied Mathematics, Kazakh-British Technical University, Almaty, 050000, Kazakhstan
Faculty of Engineering and Natural Sciences, Department of Mathematics, SDU University, Kaskelen, 040900, Kazakhstan
Institute of Mathematics and Mathematical Modeling
School of Applied Mathematics
Faculty of Engineering and Natural Sciences
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