Trichotomies for Ideals of Compact Sets

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Journal of Symbolic Logic 71 (2):586 - 598 (2006)
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Abstract

We prove several trichotomy results for ideals of compact sets. Typically, we show that a "sufficiently rich" universally Baire ideal is either $\Pi _{3}^{0}$-hard, or $\Sigma _{3}^{0}$-hard, or else a σ-ideal

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10.2178/jsl/1146620160

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Citations of this work

Descriptive set theory of families of small sets.Étienne Matheron & Miroslav Zelený - 2007 - Bulletin of Symbolic Logic 13 (4):482-537.

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On Borel ideals.Fons van Engelen - 1994 - Annals of Pure and Applied Logic 70 (2):177-203.

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