We study pairs (V, V₁), V ⊆ V₁, of models of ZFC such that adding κ-many Cohen reals over V₁ adds λ-many Cohen reals over V for some λ > κ.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm231-3-1, author = {Moti Gitik and Mohammad Golshani}, title = {Adding a lot of Cohen reals by adding a few. II}, journal = {Fundamenta Mathematicae}, volume = {228}, year = {2015}, pages = {209-224}, zbl = {06481153}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm231-3-1} }
Moti Gitik; Mohammad Golshani. Adding a lot of Cohen reals by adding a few. II. Fundamenta Mathematicae, Tome 228 (2015) pp. 209-224. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm231-3-1/