Alexander S. Kechris,
Benedikt Löwe,
John R. Steel
Cambridge University Press
e druk, 2008
9780521899512
Games, Scales and Suslin Cardinals
The Cabal Seminar, Volume I
Specificaties
Gebonden, 460 blz.
|
Engels
Cambridge University Press |
e druk, 2008
ISBN13: 9780521899512
Rubricering
Onderdeel van serie
Lecture Notes in Log
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Games, Scales, and Suslin Cardinals is the first of a series of four books collecting the seminal papers from the original volumes together with extensive unpublished material, new papers on related topics, and discussion of research developments since the publication of the original volumes. Focusing on the subjects of 'Games and Scales' (Part 1) and 'Suslin Cardinals, Partition Properties, and Homogeneity' (Part 2), each of the two sections is preceded by an introductory survey putting the papers into present context. This volume will be an invaluable reference for anyone interested in higher set theory.
Specificaties
ISBN13:9780521899512
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:460
Uitgever:Cambridge University Press
Serie:Lecture Notes in Log
Inhoudsopgave
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.