Notre Dame Journal of Formal Logic

A Note on Generic Projective Planes

Koichiro Ikeda

Abstract

Hrushovski constructed an $\omega$-categorical stable pseudoplane which refuted Lachlan's conjecture. In this note, we show that an $\omega$-categorical projective plane cannot be constructed by "the Hrushovski method."

Article information

Source
Notre Dame J. Formal Logic, Volume 43, Number 4 (2002), 249-254.

Dates
First available in Project Euclid: 17 January 2004

Permanent link to this document
https://projecteuclid.org/euclid.ndjfl/1074396310

Digital Object Identifier
doi:10.1305/ndjfl/1074396310

Mathematical Reviews number (MathSciNet)
MR2034750

Zentralblatt MATH identifier
1050.03025

Subjects
Primary: 03C35: Categoricity and completeness of theories
Secondary: 03C45: Classification theory, stability and related concepts [See also 03C48]

Keywords
generic model projective plane omega-categoricity

Citation

Ikeda, Koichiro. A Note on Generic Projective Planes. Notre Dame J. Formal Logic 43 (2002), no. 4, 249--254. doi:10.1305/ndjfl/1074396310. https://projecteuclid.org/euclid.ndjfl/1074396310


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References

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