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Two theorems about projective sets

Kechris, Alexander S. and Moschovakis, Yiannis N. (1972) Two theorems about projective sets. Israel Journal of Mathematics, 12 (4). pp. 391-399. ISSN 0021-2172. doi:10.1007/BF02764630.

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In this paper we prove two (rather unrelated) theorems about projective sets. The first one asserts that subsets of ℵ_1 which are ∑^1_2 in the codes are constructible; thus it extends the familiar theorem of Shoenfield that ∑^1_2 subsets of ω are constructible. The second is concerned with largest countable ∑^1_(2n) sets and establishes their existence under the hypothesis of Projective Determinacy and the assumption that there exist only countably many ordinal definable reals.

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Additional Information:© 1972 Springer. Received October 19, 1971. Y. N. Moschovakis is a Sloan Foundation Fellow. During the preparation of this paper, both authors were partially supported by NSF Grant GP-27964.
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MathSciNet ReviewMR0323544
Issue or Number:4
Record Number:CaltechAUTHORS:20130529-155104187
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Official Citation:Two theorems about projective sets Alexander S. Kechris, Yiannis N. Moschovakis Pages 391-399
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38706
Deposited By: Ruth Sustaita
Deposited On:30 May 2013 15:35
Last Modified:09 Nov 2021 23:39

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