A note on Wadge degrees

Creators: Kechris, Alexander S.

Others:: Kechris, A. S.; Martin, Donald A.; Moschovakis, Yiannis N.

Abstract

For pertinent definitions see published works of the Cabal Seminar. It has been shown by D. A. Martin that under the assumption of AD, Wadge degrees are well ordered; for Wadge degrees of Δ^(1)_(2n) sets Δ^(1)_(2n)-determinacy suffices. Martin has also proved (using AD) that the length of the well ordering of Δ^(1)_(2n) Wadge degrees is exactly δ^(1)_(2n+1). The author gives an alternate proof of this fact, using only Δ^(1)_(2n)-determinacy.

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A note on Wadge degrees

Abstract

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