Sacks forcing collapses 𝔠 to 𝔟 Petr Simon (1993) Commentationes Mathematicae Universitatis Carolinae We shall prove that Sacks algebra is nowhere ( 𝔟 , 𝔠 , 𝔠 ) -distributive, which implies that Sacks forcing collapses 𝔠 to 𝔟 .