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. https://resolver.caltech.edu/CaltechAUTHORS:20130529-162228399
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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.
| Item Type: | Book Section | |||||||||
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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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| Series Name: | Lecture Notes in Mathematics | |||||||||
| Issue or Number: | 839 | |||||||||
| Record Number: | CaltechAUTHORS:20130529-162228399 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130529-162228399 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 38707 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Jason Perez | |||||||||
| Deposited On: | 31 May 2013 14:37 | |||||||||
| Last Modified: | 24 Jul 2020 22:58 |
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