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arXiv · 0802.0156

Generic separable metric structures

Alexander Usvyatsov
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Abstract

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.

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Alexander Usvyatsov. 2008-02-01. Generic separable metric structures. https://arxiv.org/abs/0802.0156

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