Cabal Reprint

The published and planned volumes are:

• Alexander S. Kechris, Benedikt Löwe, John R. Steel (eds.), Games, Scales, and Suslin Cardinals, The Cabal Seminar, Volume I, Cambridge University Press, Cambridge 2008 [Lecture Notes in Logic 31]
• Volume II: Wadge degrees and projective ordinals
  submitted to the publisher on 21 July 2010
• Volume III: Ordinal definability and recursion theory
  planned for submission in June 2011
• Volume IV: Large cardinals, determinacy, and other topics
  planned for submission in December 2011

Typesetting assistant. Joel Uckelman.
Information and Downloads for Typesetting

Volume I. Games, Scales and Suslin Cardinals. Author(s) Title Alexander S. Kechris, Benedikt Löwe, John R. Steel Preface PART I: Games and scales John R. Steel Games and Scales Introduction to Part I Itay Neeman Propagation of the scale property using games Alexander S. Kechris, Yiannis N. Moschovakis Notes on the theory of scales [Cabal i, p.1-53] Yiannis N. Moschovakis Inductive scales on inductive sets [Cabal i, p.185-192] John R. Steel Scales on Σ11 sets [Cabal iii, p.72-76] Yiannis N. Moschovakis Scales on coinductive sets [Cabal iii, p.77-85] Donald A. Martin, John R. Steel The extent of scales in L(R) [Cabal iii, p.86-96] Donald A. Martin The largest countable this, that, and the other [Cabal iii, p.97-106] John R. Steel Scales in L(R) [Cabal iii, p.107-156] Donald A. Martin The real game quantifier propagates scales [Cabal iii, p.157-171] John R. Steel Long games [Cabal iv, p.56-97] John R. Steel Scales in K(R) John R. Steel The length-ω1 open game quantifier propagates scales PART II: Suslin cardinals, partition properties, homogeneity Steve Jackson Suslin cardinals, partition properties, homogeneity Introduction to Part II Alexander S. Kechris, Eugene Kleinberg, Yiannis N. Moschovakis, W. Hugh Woodin The axiom of determinacy, strong partition properties and nonsingular measures [Cabal ii, p.75-99] Alexander S. Kechris Souslin cardinals, kappa-Souslin sets and the scale property in the hyperprojective hierarchy [Cabal ii, p.127-146] Alexander S. Kechris A Coding Theorem for measures [Cabal iv, p.103-109] Alexander S. Kechris, W. Hugh Woodin Generic codes for uncountable ordinals, Partition Properties and Elementary Embeddings Alexander S. Kechris, W. Hugh Woodin The Equivalence of partition properties and determinacy Donald A. Martin, John R. Steel The tree of a Moschovakis scale is homogeneous Donald A. Martin, W. Hugh Woodin Weakly Homogeneous Trees

Volume II. Wadge degrees and projective ordinals. Author(s) Title Alexander S. Kechris, Benedikt Löwe, John R. Steel Preface PART III: Wadge degrees and pointclasses Alessandro Andretta Wadge degrees and pointclasses Introduction Robert Van Wesep Wadge degrees and descriptive set theory [Cabal i, p.151-170] Alexander S. Kechris A Note on Wadge degrees [Cabal ii, p.165-168] Alain Louveau Some results in the Wadge hierarchy of Borel sets [Cabal iii, p.28-55] Alain Louveau, Jean Saint-Raymond The strength of Borel Wadge determinacy [Cabal iv, p.1-30] John R. Steel Closure properties of pointclasses [Cabal ii, p.147-163] Alexander S. Kechris, Robert M. Solovay, John R. Steel The axiom of determinacy and the prewellordering property [Cabal ii, p.101-125] Steve Jackson, Donald A. Martin Pointclasses and wellordered unions [Cabal iii, p.56-66] Howard S. Becker More closure properties of pointclasses [Cabal iv, p.31-36] John R. Steel More measures from AD William W. Wadge The Borel Degrees PART IV: Projective ordinals Steve Jackson Projective ordinals Introduction Alexander S. Kechris Homogeneous trees and projective scales [Cabal ii, p.33-73] Alexander S. Kechris AD and projective ordinals [Cabal i, p.91-132] Robert M. Solovay A Δ13 coding of the subsets of ωω [Cabal i, p.133-150] Steve Jackson AD and projective ordinals [Cabal iv, p.117-220] Donald A. Martin Projective sets and cardinal numbers: some questions related to the continuum problem Steve Jackson Regular cardinals without the weak partition property

Volume III. Ordinal definability and recursion theory. Author(s) Title Alexander S. Kechris, Benedikt Löwe, John R. Steel Preface PART V: HOD and its local versions John R. Steel HOD and its local versions Introduction Howard S. Becker Partially playful universes [Cabal i, p.55-90] Yiannis N. Moschovakis Ordinal games and playful models [Cabal ii, p.169-201] Howard S. Becker, Yiannis N. Moschovakis Measurable cardinals in playful models [Cabal ii, p.203-214] Alexander S. Kechris, Donald A. Martin, Robert M. Solovay Introduction to Q-Theory [Cabal iii, p.199-282] Alexander S. Kechris, Donald A. Martin On the theory of &Pi13 sets of reals, II Itay Neeman An inner model proof of the Kechris-Martin theorem John R. Steel A theorem of Woodin on mouse sets John R. Steel, W. Hugh Woodin HOD as a core model PART VI: Recursion Theory Leo Harrington, Ted Slaman Recursion Theory Introduction Phokion Kolaitis On recursion in E and semi-Spector classes [Cabal i, p.209-243] Alexander S. Kechris On Spector Classes [Cabal i, p.245-277] Piergiorgio Odifreddi Trees and Degrees [Cabal ii, p.235-271] Ted Slaman, John R. Steel Definable functions on degrees [Cabal iv, p.37-55] Donald A. Martin Π12 monotone inductive definitions [Cabal ii, p.215-233] Andrew Marks, Ted Slaman, John R. Steel Martin's conjecture, arithmetic equivalence, and countable Borel equivalence relations

Volume IV. Large cardinals, determinacy and other topics. Author(s) Title Alexander S. Kechris, Benedikt Löwe, John R. Steel Preface PART VII: Extensions of AD, Models with Choice Paul Larson History of Determinacy Alexander S. Kechris "AD + UNIFORMIZATION" is equivalent to "half ADR" [Cabal iv, p.98-102] Robert M. Solovay The independence of DC from AD [Cabal i, p.171-183] Donald A. Martin Countable Length Games W. Hugh Woodin Some consistency results in ZFC using AD [Cabal iii, p.172-198] Alexander S. Kechris Subsets of aleph1 constructible from a real. [Cabal iv, p.110-116] W. Hugh Woodin AD and the uniqueness of the supercompact measures on Pω1(λ) [Cabal iii, p.67-71] Ilijas Farah The extender algebra and Σ21 absoluteness W. Hugh Woodin AD+ PART VIII: Miscellaneous John R. Steel On Vaught's conjecture [Cabal i, p.193-208] Claude Dellacherie Capacities and analytic sets [Cabal ii, 1-31] Matt Foreman More saturated ideals [Cabal iii, p.1-27] Andres Caicedo, Benedikt Löwe The Victoria Delfino Problems