Kechris, Alexander S. (1988) "AD + uniformization” is equivalent to “half ad_R". In: Cabal Seminar 81-85. Lecture Notes in Mathematics. No.1333. Springer , Berlin, pp. 98-102. ISBN 978-3-540-50020-9. https://resolver.caltech.edu/CaltechAUTHORS:20130612-072000863
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Abstract
Let w be the set of natural numbers and R = 2^ω the set of "reals" . As usual AD is the assertion that every game on ω is determined and AD_R is the assertion that every game on R is determined. Let us also consider an intermediate principle AD^(1/2)_R, which is the assertion that every game in which one of the players plays in ω and the other in R is determined. Such games appear often in applications instead of full games on R, see for instance [K].
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 1988 Springer. Research partially supported by NSF Grant DMS-8416349. | |||||||||
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| Series Name: | Lecture Notes in Mathematics | |||||||||
| Issue or Number: | 1333 | |||||||||
| Record Number: | CaltechAUTHORS:20130612-072000863 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130612-072000863 | |||||||||
| Official Citation: | “AD + uniformization” is equivalent to “half adR” Alexander S. Kechris | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 38898 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 12 Jun 2013 14:53 | |||||||||
| Last Modified: | 03 Oct 2019 05:01 |
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