Games, scales, and suslin cardinals
Games, scales, and suslin cardinals
复制标题
游戏、音阶和苏斯林红衣主教
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
J. Steel
中科院分区：
文献类型：
--
作者：
A. Kechris;B. Löwe;J. Steel
第一部分：游戏和尺度：游戏和天平介绍第一部分约翰·r·斯蒂尔2。Alexander S. Kechris和Yiannis N. Moschovakis关于尺度理论的注释2。利用游戏传播规模属性。E-sets上的刻度John R. Steel 5。6.归纳集上的归纳尺度。图中尺度的范围（图中）唐纳德·a·马丁和约翰·R·斯蒂尔最大的数这个，那个，和其他唐纳德·a·马丁8。L(R)刻度约翰·R·斯蒂尔K(R)音阶约翰·R·斯蒂尔真正的游戏量词传播尺度。约翰·r·斯蒂尔长度-w1开放博弈量词传播尺度John R. Steel Part II。Suslin基数，划分性质，同质性：13。苏斯林基数，分割性质，同质性第二部分简介超射影层次中的Suslin基数、K-suslin集和尺度性质确定性公理、强分割性质和非奇异测度Alexander S. Kechris, Eugene M. Kleinberg, Yiannis N. Moschovakis和W. Hugh Woodin划分性质的等价性和确定性[j]。不可数序数的通用编码、划分性质和初等嵌入测度的编码定理[j]。莫斯科瓦克斯量表的树是同质的。弱同质树唐纳德·a·马丁和w·休·伍丁。
Part I. Games and Scales: 1. Games and scales Introduction to Part I John R. Steel 2. Notes on the theory of scales Alexander S. Kechris and Yiannis N. Moschovakis 3. Propagation of the scale property using games Itay Neeman 4. Scales on E-sets John R. Steel 5. Inductive scales on inductive sets Yiannis N. Moschovakis 6. The extent of scales in L(R) Donald A. Martin and John R. Steel 7. The largest countable this, that, and the other Donald A. Martin 8. Scales in L(R) John R. Steel 9. Scales in K(R) John R. Steel 10. The real game quantifier propagates scales Donald A. Martin 11. Long games John R. Steel 12. The length-w1 open game quantifier propagates scales John R. Steel Part II. Suslin Cardinals, Partition Properties, Homogeneity: 13. Suslin cardinals, partition properties, homogeneity Introduction to Part II Steve Jackson 14. Suslin cardinals, K-suslin sets and the scale property in the hyperprojective hierarchy Alexander S. Kechris 15. The axiom of determinacy, strong partition properties and nonsingular measures Alexander S. Kechris, Eugene M. Kleinberg, Yiannis N. Moschovakis and W. Hugh Woodin 16. The equivalence of partition properties and determinacy Alexander S. Kechris 17. Generic codes for uncountable ordinals, partition properties, and elementary embeddings Alexander S. Kechris and W. Hugh Woodin 18. A coding theorem for measures Alexander S. Kechris 19. The tree of a Moschovakis scale is homogeneous Donald A. Martin and John R. Steel 20. Weakly homogeneous trees Donald A. Martin and W. Hugh Woodin.