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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).

##### MSC:
 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)
##### Keywords:
Borel set; projective set; measurable set; determinacy