Forcing with ideals of closed sets

Details Forcing with ideals of closed sets Forcing with ideals of closed sets

2001-09-04

arxiv.org/abs/math/0109026v1

Mathematics

Logic

Scientific paper

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].

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