Journal of Symbolic Logic

Construction of saturated quasi-minimal structure

Masanori Itai, Akito Tsuboi, and Kentaro Wakai

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Abstract

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 ω-saturated quasi-minimal models under ω-stability assumption.

Article information

Source
J. Symbolic Logic, Volume 69, Issue 1 (2004), 9-22.

Dates
First available in Project Euclid: 2 April 2004

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1080938821

Digital Object Identifier
doi:10.2178/jsl/1080938821

Mathematical Reviews number (MathSciNet)
MR2039341

Zentralblatt MATH identifier
1067.03046

Citation

Itai, Masanori; Tsuboi, Akito; Wakai, Kentaro. Construction of saturated quasi-minimal structure. J. Symbolic Logic 69 (2004), no. 1, 9--22. doi:10.2178/jsl/1080938821. https://projecteuclid.org/euclid.jsl/1080938821


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References

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