Adding dominating reals with the random algebra

Judah, Haim; Shelah, Saharon

doi:10.1090/S0002-9939-1993-1152278-3

Adding dominating reals with the random algebra
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by Haim Judah and Saharon Shelah

Proc. Amer. Math. Soc. 119 (1993), 267-273

DOI: https://doi.org/10.1090/S0002-9939-1993-1152278-3

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Abstract:

We show that there are two models $M \subseteq N$ such that by forcing with ${({\text {Random)}}^M}$ over $N$ we add dominating reals. This answers a question of A. Miller.

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The assymetry

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