Geodesic
Sacks forcing collapses $\frak c$ to $\frak b$
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 707-710.

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We shall prove that Sacks algebra is nowhere $(\frak b, \frak c, \frak c)$-distributive, which implies that Sacks forcing collapses $\frak c$ to $\frak b$.
Classification : 03C25, 03E25, 03E40, 03G05, 06A07, 06E05
Keywords: perfect tree; distributivity of Boolean algebra; almost disjoint refinement 
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     title = {Sacks forcing collapses $\frak c$ to $\frak b$},
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Simon, Petr. Sacks forcing collapses $\frak c$ to $\frak b$. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 4, pp. 707-710. http://geodesic.mathdoc.fr/item/CMUC_1993__34_4_a8/