Small forcings and Cohen reals

arxiv: math/9409203 · v1 · submitted 1994-09-02 · 🧮 math.LO

Jind\v{r}ich Zapletal This is my paper

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keywords cohenforcingsalephconsistentnontrivialproverealreals

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We prove it consistent relative to ZFC that all nontrivial forcings of size $\aleph _1$ add a Cohen real.

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