Itai, Masanori; Tsuboi, Akito; Wakai, Kentaro Construction of saturated quasi-minimal structure. (English) Zbl 1067.03046 J. Symb. Log. 69, No. 1, 9-22 (2004). 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. Cited in 1 ReviewCited in 1 Document MSC: 03C45 Classification theory, stability, and related concepts in model theory Keywords:quasi-minimal structures; \(\omega\)-saturated models; \(\omega\)-stability PDF BibTeX XML Cite \textit{M. Itai} et al., J. Symb. Log. 69, No. 1, 9--22 (2004; Zbl 1067.03046) Full Text: DOI References: [1] Connections between Model Theory and Algebraic and Analytic Geometry 6 pp 131– (2000) · Zbl 0971.00010 [2] A remark on quasi-minimal structures (2001) [3] Set Theory (1980) [4] Fundamentals of Stability Theory (1988) · Zbl 0685.03024 [5] Kokyuroku of the Research Institute of Mathematical Sciences in Kyoto 1213 pp 50– (2001) [6] Model Theory (1993) [7] Proceedings of the School of Sciences 37 pp 1– (2002) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.