HOW SPECIAL ARE COHEN AND RANDOM FORGINGS, IE BOOLEAN-ALGEBRAS OF THEFAMILY OF SUBSETS OF REALS MODULO MEAGER OR NULL

Authors
SHELAH S
Citation
S. Shelah, HOW SPECIAL ARE COHEN AND RANDOM FORGINGS, IE BOOLEAN-ALGEBRAS OF THEFAMILY OF SUBSETS OF REALS MODULO MEAGER OR NULL, Israel Journal of Mathematics, 88(1-3), 1994, pp. 159-174
Citations number
4
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
88
Issue
1-3
Year of publication
1994
Pages
159 - 174
Database
ISI
SICI code
0021-2172(1994)88:1-3<159:HSACAR>2.0.ZU;2-I
Abstract
We prove that any Souslin c.c.c. forcing notion which adds a nondomina ted real adds a Cohen real. We also prove that any Souslin c.c.c. forc ing adds a real which is not on any old ''narrow'' tree.