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The axiom of determinacy and the prewellordering property

Kechris, Alexander S. and Solovay, Robert M. and Steel, John R. (1981) The axiom of determinacy and the prewellordering property. In: Cabal Seminar 77-79. Lecture Notes in Mathematics. No.839. Springer-Verlag , Berlin, pp. 101-125. ISBN 978-3-540-10288-5.

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Let ω = (0,1,2,...) be the set of natural numbers and R = ω^ω the set of all functions from ω into ω, or for simplicity reals. A product space is of the form X = X_1 x X_2 x ... x X_k, where X_1 = ω or R. Subsets of these product spaces are called pointsets. A boldface pointclass is a class of pointsets closed under continuous preimages and containing all clopen pointsets (in all product spaces).

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Additional Information:© 1981 Springer. Partially supported by NSF Grant MCS79-20465. Tbe author is an A.P. Sloan Foundation Fellow. Partially supported by NSF Grant MCS77-01640. Partially supported by NSF Grant MCS78-02989.
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Series Name:Lecture Notes in Mathematics
Issue or Number:839
Record Number:CaltechAUTHORS:20130531-131451792
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38734
Deposited By: Ruth Sustaita
Deposited On:31 May 2013 21:45
Last Modified:24 Jul 2020 23:06

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