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Construction of saturated quasi-minimal structure

Published online by Cambridge University Press:  12 March 2014

Masanori Itai ,
Akito Tsuboi  and
Kentaro Wakai
Masanori Itai
Affiliation:
Department of Mathematical Sciences, Tokai University, 1117 Kitakaname, Hiratsuka, Kanagawa, 259-1292, Japan, E-mail [email protected]
Akito Tsuboi
Affiliation:
Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki, 305, Japan, E-mail: [email protected]
Kentaro Wakai
Affiliation:
Department of Mathematical Sciences, Tokai University, 1117 Kitakaname, Hiratsuka, Kanagawa, 259-1292, Japan, E-mail: [email protected]
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Abstract

The notion of quasi-minimal structures was denned 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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 69 , Issue 1 , March 2004 , pp. 9 - 22
Copyright
Copyright © Association for Symbolic Logic 2004

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References

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