Games, Scales and Suslin Cardinals: The Cabal Seminar, Volume I: Lecture Notes in Logic, cartea 31
Editat de Alexander S. Kechris, Benedikt Löwe, John R. Steelen Limba Engleză Hardback – 14 sep 2008
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Specificații
ISBN-13: 9780521899512
ISBN-10: 0521899516
Pagini: 460
Dimensiuni: 158 x 236 x 32 mm
Greutate: 0.75 kg
Ediția:1
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Lecture Notes in Logic
Locul publicării:New York, United States
ISBN-10: 0521899516
Pagini: 460
Dimensiuni: 158 x 236 x 32 mm
Greutate: 0.75 kg
Ediția:1
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Lecture Notes in Logic
Locul publicării:New York, United States
Cuprins
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.
Recenzii
'… beautifully typed … quite different from a mere reprint of the previous Lecture Notes. Instead, the material is carefully organised so that it may serve as an advanced textbook equally well as a monograph on descriptive set theory.' EMS Newsletter
Descriere
Presents seminal papers from the Caltech-UCLA 'Cabal Seminar', unpublished material, and related new papers.