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. https://resolver.caltech.edu/CaltechAUTHORS:20130531-131451792
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Abstract
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).
| Item Type: | Book Section | |||||||||
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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 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130531-131451792 | |||||||||
| Official Citation: | The axiom of determinacy and the prewellordering property Alexander S. Kechris, Robert M. Solovay, John R. Steel pp. 101-125 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 38734 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 31 May 2013 21:45 | |||||||||
| Last Modified: | 03 Oct 2019 05:00 |
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