期刊
TOPOLOGY AND ITS APPLICATIONS
卷 155, 期 14, 页码 1607-1617出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.topol.2007.08.023
关键词
generic structures; metric structures; Urysohn space
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. (C) 2008 Elsevier B.V. All rights reserved.
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