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Published July 1973 | public
Journal Article

Measure and category in effective descriptive set theory

Abstract

We are concerned in this paper with some definability aspects of the theory of measure and category on the continuum. Our objects of study are the projective subsets of the reals and their structure from a measure theoretic and topological point of view.

Additional Information

© 1973 North-Holland Publishing Company. Some of the main results in this paper have been announced in [11] (The final statement in this abstract about Δ^1_(2(n+1) reals is wrong.) Part of Section 4 has been also included in the author's Ph.D. thesis (UCLA, June 1972) written under the supervision of Professor Y.N. Moschovakis whom we wish to thank for his guidance and encouragement. We would like also to thank Professor G.E. Sacks and L. Harrington for many interesting and helpful discussions. The preparation of this manuscript was partially supported by NSF Grant GP 27964.

Additional details

Created:
August 19, 2023
Modified:
March 5, 2024