Notes on the Theory of Scales
Notes on the Theory of Scales
复制标题
音阶理论笔记
DOI：
--
复制
发表时间：
1978
期刊：
影响因子：
--
通讯作者：
Y. Moschovakis
中科院分区：
文献类型：
--
作者：
A. Kechris;Y. Moschovakis
这些注释的目的是对描述性集合论的一些最新结果进行非正式的阐述，所有这些结果都围绕着尺度的概念。这首先是在射影决定性假设的统一化定理的推广中被明确地分离出来的[14]，但肯定是隐含在一些经典证明中的。事实证明，尺度除了均匀化定理之外还有许多应用，既可以产生新结果，也可以为已知结果提供更优雅的证明。
It is the purpose of these notes to give an informal exposition of several recent results in Descriptive Set Theory, all centering around the notion of a scale. This was first isolated explicitly in the generalization of the Uniformization Theorem on the hypothesis of projective determinacy [14], but is surely implicit in some of the classical proofs. It has turned out that scales have many applications beyond the Uniformization Theorem, both in producing new results and in providing more elegant proofs of known results.