A Generic Property of the Solovay Set Σ

A Generic Property of the Solovay Set Σ

We prove that the Solovay set Σ is generic over the ground model in the sense of a forcing whose order relation extends the order relation of the given forcing.

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Veröffentlicht in:Siberian mathematical journal 2017-11, Vol.58 (6), p.1012-1014
Hauptverfasser: Kanovei, V. G., Lyubetsky, V. A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:We prove that the Solovay set Σ is generic over the ground model in the sense of a forcing whose order relation extends the order relation of the given forcing.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446617060106