Title
Proper forcing extensions and Solovay models.
Abstract
Abstract. We study the preservation of the property of L(R) being a Solovay model under proper projective forcing extensions. We show that every § » 1strongly-proper forcing notion preserves this property. This yields that the consistency strength of the absoluteness of L(R) under §
Year
DOI
Venue
2004
10.1007/s00153-003-0210-2
Arch. Math. Log.
Keywords
DocType
Volume
Solovay models, generic absoluteness, strongly-proper forcing, projective forcing, consistency strength, definably-Mahlo cardinals, Mahlo cardinals, weakly-compact cardinals
Journal
43
Issue
ISSN
Citations 
6
0933-5846
4
PageRank 
References 
Authors
1.33
4
2
Name
Order
Citations
PageRank
Joan Bagaria16313.15
Roger Bosch2112.97