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Scales and Uniformization

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Classical Descriptive Set Theory

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 156))

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Abstract

We will study in this section the problem of uniformization for co-analytic sets. We want to find a canonical procedure to select a point from a given nonempty co-analytic set. (To uniformize a co-analytic set AX × Y, we will then apply this procedure to each nonempty section A x .) It is clear that, without loss of generality, we can work in the Baire space N.

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© 1995 Springer-Verlag New York, Inc.

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Kechris, A.S. (1995). Scales and Uniformization. In: Classical Descriptive Set Theory. Graduate Texts in Mathematics, vol 156. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4190-4_36

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  • DOI: https://doi.org/10.1007/978-1-4612-4190-4_36

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8692-9

  • Online ISBN: 978-1-4612-4190-4

  • eBook Packages: Springer Book Archive

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