论文标题
欧米茄类别结构的不变Keisler措施
Invariant Keisler measures for omega-categorical structures
论文作者
论文摘要
Chernikov，Hrushovski，Kruckman，Krupinski，Moconja，Pillay和Ramsey最近的一篇文章找到了第一个简单结构的示例，这些结构的配方不得超过$ \ emberyset $，但通常是普遍衡量的。在本文中，我们给出了第一个已知的简单$ω$ - 类别反例。这些恰好是各种$ω$ - 类别的Hrushovski结构。使用Jahel和Tsankov的概率独立定理，我们展示了$ω$ - 分类结构的简单，而分叉理想和普遍测量零的理想重合必须满足独立定理的更强版本。
A recent article of Chernikov, Hrushovski, Kruckman, Krupinski, Moconja, Pillay and Ramsey finds the first examples of simple structures with formulas which do not fork over $\emptyset$ but are universally measure zero. In this article we give the first known simple $ω$-categorical counterexamples. These happen to be various $ω$-categorical Hrushovski constructions. Using a probabilistic independence theorem from Jahel and Tsankov, we show how simple $ω$-categorical structures where the forking ideal and the universally measure zero ideal coincide must satisfy a stronger version of the independence theorem.
