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Published July 1985 | Published
Journal Article Open

On the Relative Consistency Strength of Determinacy Hypothesis

Abstract

For any collection of sets of reals C, let C-DET be the statement that all sets of reals in C are determined. In this paper we study questions of the form: For given C ⊆ C', when is C'-DET equivalent, equiconsistent or strictly stronger in consistency strength than C-DET (modulo ZFC)? We focus especially on classes C contained in the projective sets.

Additional Information

© 1985 American Mathematical Society. Received by the editors July 6, 1984. Partially supported by NSF Grant MCS 79-20465 and an A. P. Sloan Foundation Fellowship. Partially supported by NSF Grant MCS 79-06077.

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