an:00536974
Zbl 0797.03053
Simon, Petr
Sacks forcing collapses \({\mathfrak c}\) to \({\mathfrak b}\)
EN
Commentat. Math. Univ. Carol. 34, No. 4, 707-710 (1993).
00017826
1993
j
03E40 03C25 03E25 06A07 06E05
tree; cardinal; Sacks algebra; Sacks forcing
The author improves some result of A. Roslanowski and S. Shelah and answers a question from their paper. The main result is that a Sacks algebra is nowhere \(({\mathfrak b},{\mathfrak c},{\mathfrak c})\)-distributive, which implies that Sacks forcing collapses \(\mathfrak c\) to \(\mathfrak b\).
Yu.Ventsov (Novosibirsk)