2001/09/04 by Jindrich Zapletal, Jindřich Zapletal, Zapletal, Jindrich
Computer Science · Mathematics · #03E55 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras #math.LO #msc:03E55
paper · pdf · doi:10.48550/arxiv.math/0109026
arxiv created 2001/09/04 · openalex publication_date 2001/09/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let I be a sigma-ideal sigma-generated by a projective collection of closed sets. The forcing with I-positive Borel sets is proper and adds a single real r of an almost minimal degree: if s is a real in V[r] then s is Cohen generic over V or V[s]=V[r].