
Games, Scales and Suslin Cardinals: The Cabal Seminar, Volume I
by Edited by Alexander S. Kechris , Benedikt Löwe , John R. Steel-
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Summary
Author Biography
Table of Contents
Preface | p. ix |
Games and Scales | |
Games and scales. Introduction to Part I | p. 3 |
Notes on the theory of scales | p. 28 |
Propagation of the scale property using games | p. 75 |
Scales on <$$$>-sets | p. 90 |
Inductive scales on inductive sets | p. 94 |
Scales on coinductive sets | p. 102 |
The extent of scales in L(R) | p. 110 |
The largest countable this, that, and the other | p. 121 |
Scales in L(R) | p. 130 |
Scales in K(R) | p. 176 |
The real game quantifier propagates scales | p. 209 |
Long games | p. 223 |
The length-¿1 open game quantifier propagates scales | p. 260 |
Suslin Cardinals, Partition Properties, Homogeneity | |
Suslin cardinals, partition properties, homogeneity. Introduction to Part II | p. 273 |
Suslin cardinals, ¿-Suslin sets, and the scale property in the hyperprojective hierarchy | p. 314 |
The axiom of determinacy, strong partition properties, and nonsingular measures | p. 333 |
The equivalence of partition properties and determinacy | p. 355 |
Generic codes for uncountable ordinals, partition properties, and elementary embeddings | p. 379 |
A coding theorem for measures | p. 398 |
The tree of a Moschovakis scale is homogeneous | p. 404 |
Weakly homogeneous trees | p. 421 |
Bibliography | p. 439 |
Table of Contents provided by Ingram. All Rights Reserved. |
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