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Minimal but not strongly minimal structures with arbitrary finite dimensions

Published online by Cambridge University Press:  12 March 2014

Koichiro Ikeda
Koichiro Ikeda*
Affiliation:
Department of Mathematics, Toyota National College of Technology, 2-1 Eiseicho, Toyota 471-8525., Japan, E-mail: ikeda@toyota-ct.ac.jp
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Abstract

An infinite structure is said to be minimal if each of its definable subset is finite or cofinite. Modifying Hrushovski's method we construct minimal, non strongly minimal structures with arbitrary finite dimensions. This answers negatively to a problem posed by B. I Zilber.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 1 , March 2001 , pp. 117 - 126
Copyright
Copyright © Association for Symbolic Logic 2001

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References

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