Adding a lot of cohen reals by adding a few. I

Moti Gitik*, Mohammad Golshani

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper we produce models V1⊆ V2of set theory such that adding κ-many Cohen reals to V2adds λ-many Cohen reals to V1, for some λ > κ. We deal mainly with the case when V1and V2have the same cardinals.

Original languageEnglish
Pages (from-to)209-229
Number of pages21
JournalTransactions of the American Mathematical Society
Issue number1
StatePublished - 2015


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