PP-2009-25: Forcing Absoluteness and Regularity Properties

PP-2009-25: Ikegami, Daisuke (2009) Forcing Absoluteness and Regularity Properties. [Report]

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Abstract

For a large natural class of forcing notions, we prove general equivalence theorems between forcing absoluteness statements, regularity properties, and transcendence properties over L and the core model K. We use our results to answer open questions from set theory of the reals.

Item Type: Report
Report Nr: PP-2009-25
Series Name: Prepublication (PP) Series
Year: 2009
Uncontrolled Keywords: Forcing absoluteness; Regularity properties; Transcendence properties
Date Deposited: 12 Oct 2016 14:37
Last Modified: 12 Oct 2016 14:37
URI: https://eprints.illc.uva.nl/id/eprint/355

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