منابع مشابه
Some remarks on generic structures
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.
متن کاملGeneric Structures ∗
In this paper, the theory of generic structures is put in a general, unified framework. The framework is applied to Hrushovski’s [8] universal domains and Poizat’s [11] bicoloured fields. Of particular interest will be the conditions under which generic structures are saturated.
متن کاملGeneric Separable Metric Structures
We compare three notions of genericity of separable metric structures. Our analysis provides a general model theoretic technique of showing that structures are generic in descriptive set theoretic (topological) sense and in measure theoretic sense. In particular, it gives a new perspective on Vershik’s theorems on genericity and randomness of Urysohn’s space among separable metric spaces.
متن کاملSimple generic structures
We study universal-homogenous (generic) structures with predi-mension which have rst order simple theories and examine some con-jectures in this context. We show if for the theory of generic structuresforking independence is the same as d-independence then stable forkingconjecture is true for those theories. References[1] J.Baldwin and N.Shi. Stable generic structures. A...
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The problem of formation of generic structures in the Universe is addressed, whereby rst the kinematics of inertial continua for coherent initial data is considered. The generalization to self{gravitating continua is outlined focused on the classiication problem of singularities and metamorphoses arising in the density eld. Self{gravity gives rise to an internal hierarchy of structures, and, dr...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1992
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093636094