Some remarks on generic structures
David E. Evans and Mark Wing Ho Wong
Source: J. Symbolic Logic Volume 74, Issue 4
(2009), 1143-1154.
Abstract
We show that the ℵ0-categorical structures produced by Hrushovski's predimension construction with a control function fit neatly into Shelah's SOPn hierarchy: if they are not simple, then they have SOP3 and NSOP4. We also show that structures produced without using a control function can be undecidable and have SOP.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsl/1254748684
Digital Object Identifier: doi:10.2178/jsl/1254748684
Zentralblatt MATH identifier: 05654323
Mathematical Reviews number (MathSciNet): MR2583813
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Mark Wing Ho Wong Ph.D. thesis, University of East Anglia, Norwich,June 2007.,
