论文标题
测得的结构中较高的合并特性
Higher amalgamation properties in measured structures
论文作者
论文摘要
使用由于拖车而导致的无限制去除引理的无限版，我们证明了模型理论更高的合并结果。特别是，我们获得了一个独立的合并特性，该特性具有在Macpherson和Steinhorn的意义上可测量的结构中，但在有限的SU级别的结构中通常不正确。我们用它来表明Hrushovski的某些非局部模块，超级$ω$ - 分类结构不可用。
Using an infinitary version of the Hypergraph Removal Lemma due to Towsner, we prove a model-theoretic higher amalgamation result. In particular, we obtain an independent amalgamation property which holds in structures which are measurable in the sense of Macpherson and Steinhorn, but which is not generally true in structures which are supersimple of finite SU-rank. We use this to show that some of Hrushovski's non-locally-modular, supersimple $ω$-categorical structures are not MS-measurable.
