Descriptive set theory. (English) Zbl 0433.03025

Studies in Logic and the Foundations of Mathematics, Vol. 100. Amsterdam, New York, Oxford: North-Holland Publishing Company. XII, 637 p. Dfl. 150.00; $ 73.25 (1980).


03E15 Descriptive set theory
03-02 Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations
03E60 Determinacy principles
03E65 Other set-theoretic hypotheses and axioms
03E45 Inner models, including constructibility, ordinal definability, and core models
03D20 Recursive functions and relations, subrecursive hierarchies
03D55 Hierarchies of computability and definability
03D75 Abstract and axiomatic computability and recursion theory
28A05 Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets
26A21 Classification of real functions; Baire classification of sets and functions
54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)