Minimal but not strongly minimal structures with arbitrary finite dimensions-Reference-Cited by-同舟云学术

Minimal but not strongly minimal structures with arbitrary finite dimensions

Published:2001-03 Issue:1 Volume:66 Page:117-126
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Ikeda Koichiro

Abstract

AbstractAn 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference13 articles.

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2. Stable generic structures

3. An almost strongly minimal non-Desarguesian projective plane

4. Baldwin J. T. , New families of stable structures, Notes on Hrushovski's construction intended for lectures in Beijing.

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