期刊
ISRAEL JOURNAL OF MATHEMATICS
卷 215, 期 2, 页码 965-1009出版社
HEBREW UNIV MAGNES PRESS
DOI: 10.1007/s11856-016-1399-1
关键词
-
类别
资金
- GruPoLoCo [ANR-11-JS01-0008]
- ValCoMo [ANR-13-BS01-0006]
- Agence Nationale de la Recherche (ANR) [ANR-11-JS01-0008] Funding Source: Agence Nationale de la Recherche (ANR)
We study several distinguished function algebras on a Polish group G, under the assumption that G is Roelcke precompact. We do this by means of the model-theoretic translation initiated by Ben Yaacov and Tsankov: we investigate the dynamics of N-o-categorical metric structures under the action of their automorphism group. We show that, in this context, every strongly uniformly continuous function (in particular, every Asplund function) is weakly almost periodic. We also point out the correspondence between tame functions and NIP formulas, deducing that the isometry group of the Urysohn sphere is Tame a (c) UC-trivial.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据