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Generic separable metric structures

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 نشر من قبل Alexander Usvyatsov
 تاريخ النشر 2008
  مجال البحث
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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 Vershiks theorems on genericity and randomness of Urysohns space among separable metric spaces.



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