论文标题
伪芬太尼H结构的维度和测量
Dimension and measure in pseudofinite H-structures
论文作者
论文摘要
我们研究与SU-RANK 1可测量结构相关的H结构。我们证明,扩展的SU级别是连续的,并且在公式的参数方面可以统一地定义。我们还介绍了尺寸的概念,并在扩展中为可定义集进行了衡量标准,并证明它们可以根据公式的参数统一。
We study H-structures associated to SU-rank 1 measurable structures. We prove that the SU-rank of the expansion is continuous and that it is uniformly definable in terms of the parameters of the formulas. We also introduce notions of dimension and measure for definable sets in the expansion and prove they are uniformly definable in terms of the parameters of the formulas.