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Notes on the Theory of Scales

Kechris, Alexander S. and Moschovakis, Yiannis N. (1978) Notes on the Theory of Scales. In: Cabal Seminar 76–77. Lecture Notes in Mathematics. No.689. Springer , Berlin, pp. 1-53. ISBN 978-3-540-09086-1. https://resolver.caltech.edu/CaltechAUTHORS:20130528-094742588

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Abstract

It is the purpose of these notes to give an informal exposition of several recent results in Descriptive Set Theory, all centering around the notion of a scale. This was first isolated explicitly in the generalization of the Uniformization Theorem on the hypothesis of projective determinacy [14], but is surely implicit in some of the classical proofs. It has turned out that scales have many applications beyond the Uniformization Theorem, both in producing new results and in providing more elegant proofs of known results.


Item Type:Book Section
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Additional Information:© 1978 Springer. Moschovakis is a Sloan Foundation Fellow. During the preparation of this manuscript both authors were partially supported by NSF Grant #GP-27964.
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NSFGP-27964
Series Name:Lecture Notes in Mathematics
Issue or Number:689
Record Number:CaltechAUTHORS:20130528-094742588
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130528-094742588
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38683
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:28 May 2013 17:37
Last Modified:24 Jul 2020 21:48

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