Introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. The book considers a broad spectrum of objects from analysis, algebra, and combinatorics. The topic is nearly inexhaustible in its variety, and many directions invite further investigation.
Introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. The book considers a broad spectrum of objects from analysis, algebra, and combinatorics. The topic is nearly inexhaustible in its variety, and many directions invite further investigation.
Paul B. Larson, Miami University, Oxford, OH Jindrich Zapletal, University of Florida, Gainesville, FL, and Czech Academy of Sciences, Prague, Czech Republic
Inhaltsangabe
Introduction. Equivalence relations: The virtual realm. Turbulence. Nested sequences of models. Balanced extensions of the Solovay model: Balanced Suslin forcing. Simplicial complex forcings. Ultrafilter forcings. Other forcings. Preserving cardinalities. Uniformization. Locally countable structures. The Silver divide. The arity divide. Other combinatorics. Bibliography. Index.
