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Forcing with ideals of closed sets

逻辑 2007-05-23 v1

摘要

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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引用

@article{arxiv.math/0109026,
  title  = {Forcing with ideals of closed sets},
  author = {Jindrich Zapletal},
  journal= {arXiv preprint arXiv:math/0109026},
  year   = {2007}
}