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Adding a lot of random reals by adding a few

Volume 241 / 2018

Moti Gitik, Mohammad Golshani Fundamenta Mathematicae 241 (2018), 97-108 MSC: Primary 03E35, 03E55. DOI: 10.4064/fm437-7-2017 Published online: 12 January 2018


We study pairs $(V, V_1)$ of models of ZFC such that adding $\kappa $-many random reals over $V_1$ adds $\lambda $-many random reals over $V$ for some $\lambda \gt \kappa .$


  • Moti GitikSchool of Mathematical Sciences
    Tel Aviv University
    Tel Aviv, Israel
  • Mohammad GolshaniSchool of Mathematics
    Institute for Research in Fundamental Sciences (IPM)
    P.O. Box 19395-5746, Tehran, Iran

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