On some extensions of the projective hierarchy

Annals of Pure and Applied Logic 36:105-113 (1987)
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Abstract

We prove that the least σ-algebra containing the projective sets and closed under projections is exactly the collection of hyperprojective sets which, with their complements, can be inductively defined with real parameters by an induction of countable length. This provides a construction principle for this natural class of hyperprojective sets

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References found in this work

On Some Σ-Algebras Containing the Projective Sets I.C. A. di Prisco & Wiktor Marek - 1982 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 28 (33-38):525-538.
On Some Σ‐Algebras Containing the Projective Sets I.C. A. di Prisco & Wiktor Marek - 1982 - Mathematical Logic Quarterly 28 (33‐38):525-538.

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