Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660168 | Topology and its Applications | 2008 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology