Stationary Sets.- Partition Relations.- Coherent Sequences.- Borel Equivalence Relations.- Proper Forcing.- Combinatorial Cardinal Characteristics of the Continuum.- Invariants of Measure and Category.- Constructibility and Class Forcing.- Fine Structure.- ? Fine Structure.- Elementary Embeddings and Algebra.- Iterated Forcing and Elementary Embeddings.- Ideals and Generic Elementary Embeddings.- Cardinal Arithmetic.- Successors of Singular Cardinals.- Prikry-Type Forcings.- Beginning Inner Model Theory.- The Covering Lemma.- An Outline of Inner Model Theory.- A Core Model Toolbox and Guide.- Structural Consequences of AD.- Determinacy in (?).- Large Cardinals from Determinacy.- Forcing over Models of Determinacy.
From the reviews: "This Handbook is written for graduate students and researchers ... . The 24 chapters and a long introduction are written by acknowledged experts, major research figures in their areas. ... The Handbook is completed by an extensive Index." (Martin Weese, Zentralblatt MATH, Vol. 1197, 2010)
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