How can we recognize potentially ${\bf\pi}^{0}_{\XI}$ subsets of the plane?

Journal of Mathematical Logic 9 (1):39-62 (2009)
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Abstract

Let ξ ≥ 1 be a countable ordinal. We study the Borel subsets of the plane that can be made [Formula: see text] by refining the Polish topology on the real line. These sets are called potentially [Formula: see text]. We give a Hurewicz-like test to recognize potentially [Formula: see text] sets.

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10.1142/s0219061309000793

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Citations of this work

Injective tests of low complexity in the plane.Dominique Lecomte & Rafael Zamora - 2019 - Mathematical Logic Quarterly 65 (2):134-169.
Acyclicity and reduction.Dominique Lecomte - 2019 - Annals of Pure and Applied Logic 170 (3):383-426.

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References found in this work

Descriptive Set Theory.Richard Mansfield - 1981 - Journal of Symbolic Logic 46 (4):874-876.
Descriptive Set Theory.Yiannis Nicholas Moschovakis - 1982 - Studia Logica 41 (4):429-430.
Monotone inductive definitions over the continuum.Douglas Cenzer - 1976 - Journal of Symbolic Logic 41 (1):188-198.

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