Some remarks on generic structures
نویسندگان
چکیده
We show that the theory of a generic structure constructed from an amalgamation class given by a predimension (as defined by Hrushovski) can be undecidable and have the strict order property. This answers a question of Pourmahdian. By contrast, if the generic is א0-categorical, then we show that it satisfies Shelah’s property NSOP4, but need not satisfy NSOP3.
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عنوان ژورنال:
- J. Symb. Log.
دوره 74 شماره
صفحات -
تاریخ انتشار 2009