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2002 A Note on Generic Projective Planes
Koichiro Ikeda
Notre Dame J. Formal Logic 43(4): 249-254 (2002). DOI: 10.1305/ndjfl/1074396310

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."

Citation

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Koichiro Ikeda. "A Note on Generic Projective Planes." Notre Dame J. Formal Logic 43 (4) 249 - 254, 2002. https://doi.org/10.1305/ndjfl/1074396310

Information

Published: 2002
First available in Project Euclid: 17 January 2004

zbMATH: 1050.03025
MathSciNet: MR2034750
Digital Object Identifier: 10.1305/ndjfl/1074396310

Subjects:
Primary: 03C35
Secondary: 03C45

Keywords: generic model , omega-categoricity , Projective plane

Rights: Copyright © 2002 University of Notre Dame

Vol.43 • No. 4 • 2002
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