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A note on Wadge degrees

Kechris, Alexander S. (1981) A note on Wadge degrees. In: Cabal Seminar 77-79. Lecture Notes in Mathematics. No.839. Springer-Verlag , Berlin, pp. 165-168. ISBN 978-3-540-38422-9.

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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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Additional Information:© 1981 Springer-Verlag. Research partially supported by NSF Grant MCS-17254 A01. The author is an A.P. Sloan Foundation Fellow.
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NSFMCS-17254 A01
Series Name:Lecture Notes in Mathematics
Issue or Number:839
Record Number:CaltechAUTHORS:20130529-162228399
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38707
Deposited By: Jason Perez
Deposited On:31 May 2013 14:37
Last Modified:24 Jul 2020 22:58

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