This examination of weak orthogonality and neighborhoods enhances understanding of 1-types, suggesting new tools for model theory.
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.
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Baizhanov et al. (2025) studied this question.
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