Construction of saturated quasi-minimal structure. (English) Zbl 1067.03046

Summary: The notion of quasi-minimal structures was defined by B. Zil’ber as a natural generalization of minimal structures. Inspired by his work, we study here basic model-theoretic properties of quasi-minimal structures. Main result is the construction of \(\omega\)-saturated quasi-minimal models under \(\omega\)-stability assumption.


03C45 Classification theory, stability, and related concepts in model theory
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