Borel equivalence relations : structure and classification
Borel equivalence relations : structure and classification
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DOI：
10.1090/ulect/044
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发表时间：
2008-09
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通讯作者：
V. Kanovei
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文献类型：
--
作者：
V. Kanovei
介绍描述性集合论背景描述性集合论的一些定理Borel理想介绍等价关系Borel等价关系的约简“基本”结果介绍可数等价关系超有限等价关系更多关于可数等价关系第一和第二二分法定理理想${\mathscr I}_1$和等价关系${\mathsf E}_1$无限对称群的作用湍流群作用理想$\mathscr{I}_3$和等价关系$\mathsf{E}_3$可和等价关系$\mathsf{c}_0$-等式Pinned等价关系将Borel等价关系简化为Borel理想关于Cohen和Gandy-Harrington强迫可数模型。
Introduction Descriptive set theoretic background Some theorems of descriptive set theory Borel ideals Introduction to equivalence relations Borel reducibility of equivalence relations "Elementary" results Introduction to countable equivalence relations Hyperfinite equivalence relations More on countable equivalence relations The 1st and 2nd dichotomy theorems Ideal ${\mathscr I}_1$ and the equivalence relation ${\mathsf E}_1$ Actions of the infinite symmetric group Turbulent groups actions The ideal $\mathscr{I}_3$ and the equivalence relation $\mathsf{E}_3$ Summable equivalence relations $\mathsf{c}_0$-equalities Pinned equivalence relations Reduction of Borel equivalence relations to Borel ideals On Cohen and Gandy-Harrington forcing over countable models Bibliography Index.