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Israel Journal of Mathematics

, Volume 92, Issue 1–3, pp 349–359 | Cite as

No random reals in countable support iterations

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Abstract

We prove a preservation theorem for limit steps of countable support iterations of proper forcing notions whose particular cases are preservations of the following properties on limit steps: “no random reals are added”, “μ(Random(V))≠1”, “no dominating reals are added”, “Cohen(V) is not comeager”. Consequently, countable support iterations of σ-centered forcing notions do not add random reals.

Keywords

Inverse Limit Random Real Force Notion Baire Space Majorant Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University 1995

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceBar Ilan UniversityRamat GanIsrael
  2. 2.Matematický ústav SAVKošiceSlovakia

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