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"AD + uniformization” is equivalent to “half ad_R"

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.

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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].

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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
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38898
Deposited By: Ruth Sustaita
Deposited On:12 Jun 2013 14:53
Last Modified:09 Nov 2021 23:40

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